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Visual Fractions Worksheets

Plot Numerators and Denominators Worksheet

Plot Numerators and Denominators

Tape Diagrams Worksheet

Tape Diagrams

Color Fractional Parts Worksheet

Color Fractional Parts

Compare Visual Fractions Worksheet

Compare Visual Fractions

Check the Fraction Worksheet

Check the Fraction

What it Represents Worksheet

What it Represents

Dots on Number Line Worksheet

Dots on Number Line

Pizza Fractions Worksheet

Pizza Fractions

Shaded vs. Unshaded Worksheet

Color Based on Mixed Numbers

Color Based on Mixed Numbers Worksheet

Add and Shade

Shade Your Answer Worksheet

Shade Your Answer

Cut and Paste Fractions Worksheet

Cut and Paste Fractions

Shade Every Shape Worksheet

Shade Every Shape

Crossout Fractions Worksheet

Crossout Fractions

About these 15 worksheets.

These worksheets use graphical representations to explain and practice the concept of fractions and operations with them. Unlike traditional fraction worksheets that might simply list fractions for simplification or mathematical operations, visual fraction worksheets incorporate images, shapes, and diagrams to represent fractional values. The aim is to help students visualize fractions, understand their significance, and develop an intuitive grasp of fractional relationships.

Types of Exercises on Visual Fraction Worksheets

Shaded Shapes – Shapes (circles, squares, rectangles, etc.) are shaded to represent a fraction. For example, half a circle might be colored in to represent 1/2. This is to familiarize students with the basic concept of fractions as parts of a whole. Students can visually understand how fractions represent a portion of a whole entity.

Fraction Matching – Students match graphical representations of fractions with their numerical counterparts. For instance, a shaded circle might need to be matched with the fraction 3/4. This reinforces the link between the visual representation and the numerical value of a fraction. This can enhance your recognition and understanding of fractions in various representations.

Comparing Fractions Using Visuals – Different shapes with shaded portions are presented, and students must determine which shape represents the larger fraction. These are helpful to visually compare the size of two or more fractions. Students develop the ability to compare and order fractions based on their size without performing any calculations.

Equivalent Fractions – Multiple shapes might represent the same fraction. For instance, 1/2 could be shown as half a circle and half a rectangle. This problems are used to teach students that fractions can look different visually but still represent the same value.

Fractions on a Number Line – A number line is presented, and students plot or identify where given fractions would lie. This can be used to provide a linear representation of fractions and their position relative to whole numbers and other fractions. Students can, as a result, better understand the progression of fractional values and their relation to whole numbers.

Visual Fraction Operations – Using visual aids, students perform operations like addition or subtraction. For example, combining two shaded shapes to determine the resultant fraction. This is used to illustrate how fractions can be combined or separated through mathematical operations. This helps in mastery of basic arithmetic operations with fractions in a tangible manner.

Why It’s Important To Use Visuals When Teaching Fractions?

Using visuals with fractions is crucial due to their ability to convey the inherent nature of fractions as parts of a whole. Pie charts, fraction bars, or number lines offer tangible representations, simplifying abstract concepts and providing an intuitive grasp. These visual aids are not just tools for clarification; they address diverse learning styles. Many students are visual learners and digest information more effectively when presented in a graphical or tangible manner. Furthermore, visuals enhance engagement, turning lessons into interactive and hands-on experiences, especially with tools like fraction tiles or digital platforms.

When students compare, add, subtract, multiply, or divide fractions, visual aids facilitate a clearer understanding. For instance, number lines can elucidate the relationship between different fractions, helping students discern which is larger or smaller. Additionally, fraction bars can vividly illustrate why common denominators are necessary for certain operations. Beyond mere operations, visuals tether mathematical concepts to real-world scenarios. The act of dividing a pizza or a chocolate bar becomes a practical lesson in fractions, anchoring abstract ideas to tangible experiences.

The power of visual memory can’t be underestimated. Students might retain the memory of a visual representation long after textual definitions fade. This visual approach can also alleviate math-related anxiety for some students, presenting concepts in a more approachable and less intimidating manner. Importantly, a strong foundational understanding of fractions, bolstered by visuals, paves the way for grasping more advanced mathematical concepts in the future. In essence, visuals are not mere supplementary tools in teaching fractions; they are central to fostering a deeper, more comprehensive understanding.

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→ → Equivalent fractions

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Students usually encounter the concept of equivalent fractions in 4th grade (such as 1/2 = 5/10). Visual models are essential in helping children to grasp this idea, and the worksheets below provide just that!

Then, in 5th grade, students learn how to add unlike fractions. This procedure involves converting the fractions to fractions with a common denominator. So, the concept of equivalent fractions is an important prerequisite to fraction addition and subtraction.


Each worksheet is randomly generated and thus unique. The and is placed on the second page of the file.

You can generate the worksheets — both are easy to print. To get the PDF worksheet, simply push the button titled " " or " ". To get the worksheet in html format, push the button " " or " ". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:



The two equivalent fractions are shown; student colors the pie models

   
 

Two pie models are already colored; student writes the fractions

   
 

Two pie images; one is colored, the other is not, the student writes both fractions

   
 

Two pie images to color, one fraction is given, one not

   
 

Allow improper fractions, the student writes both fractions

   
 

Allow mixed numbers, the student writes both mixed numbers

   
 

Allow mixed numbers and improper fractions, the student writes both fractions/mixed numbers

   
 

Allow mixed numbers and improper fractions, one fraction is given, the other not

   
 

Equivalent fractions without visual models


Write the missing part, small denominators
(e.g. 2/3 = ?/12)

   
 

Improper fractions allowed, small denominators (e.g. 7/4 = ?/16)

   
 

Equivalent mixed numbers, small denominators
(e.g. 2  3/4 = 2  ?/12)

   
 

Both mixed numbers and improper fractions allowed, small denominators

   
 

The following worksheets are similar to the ones above, but using larger numbers in the denominators and numerators.

Equivalent fractions, proper fractions only
 

   
 
Improper fractions allowed
(e.g. 17/14 = ?/56)

   
 
Includes mixed numbers
 

   
 
Includes both improper fractions and mixed numbers

   
 

With this worksheet generator, you can make worksheets for equivalent fractions. The worksheet can include problems with visual models (pie images) or not. There are five problem types to choose from:

  • Two fractions are given with 2 empty pie images to color in (e.g. 3/5 = 6/10).
  • There are 2 pie images that are already colored; the student writes both fractions.
  • Two pie images are given, one colored in, one not; the student writes both fractions.
  • There are 2 pie images to color, one fraction is given, one not (e.g. 4/5 =     /     )
  • Problems without any visual model; the student writes the missing numerator or denominator in one of the fractions (e.g. 2/3 =     /12).

You can choose to include or not include mixed numbers and improper fractions. You can control the minimum and maximum values for the numerator and the denominator. However, for the problems with visual models, the maximum denominator is limited to 16.

2 fractions with 2 empty pie images to color in (e.g. 3/5 = 6/10)
2 pie images already colored; the student writes both fractions
2 pie images, one colored in, one not; the student writes both fractions
2 pie images to color, one fraction is given, one not (e.g. 4/5 =     /    ).
no images -- students writes the missing part in one of the fractions (e.g. 2/3 =     /12)

visual representation of fractions worksheet

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This workbook has been compiled and tested by a team of math experts to increase your child's confidence, enjoyment, and success at school. Fourth Grade: Provides practice at all the major topics for Grade 4 with emphasis on multiplication and division of larger numbers. Includes a review of Grade 3 topics and a preview of topics in Grade 5. Includes Times Tables practice.

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Visual Fraction Models Worksheets

  • Pre-Algebra >
  • Fractions >
  • Visual Models

Raise the bar with our collection of free visual fraction models worksheets. These pdfs feature problems involving well-defined illustrations to give students effective visual representation of fractions. The huge number of tasks such as identifying equal shares, writing fractions based on the colored objects in each group, and finding fractions on number lines means you hardly need to get in a sweat about introducing fractions to young beginners. Check out the included answer key whenever the children need a hint or simply to verify their answers.

Our pdf fraction visuals worksheets are suitable for grade 1 through grade 6 students.

Halves, Thirds, and Fourths

Power up practice so the learning becomes raring! In these practice tools, the children up to grade 2 race through the task by pinpointing which shapes represent “halves”, which ones show “thirds”, and which ones illustrate “fourths”.

Halves, Thirds, and Fourths

Equal Parts

Can the 1st grade, 2nd grade, and 3rd grade students quickly identify whether the models are split into equal or unequal shares? Learners must sharpen their observation skills to answer this section of our pdf visual fractions worksheets.

Equal Parts

Fractions of a Group

Be one such sharp cookie that your peers will come rushing to you to clear their fractions doubts! In these printable tools, observe each group of pictures and write what part of the set is colored. The everyday objects here are a joy to learn with!

Fractions of a Group

Parts of a Whole

Will the grade 3 and grade 4 learners rise up to the challenge and use the visual representation of fractions to answer these questions accurately? Watch them write what fraction of the model is shaded and match the models to the correct fractions.

Parts of a Whole

Fractions on a Number Line

Barrel toward resounding success with these worksheets that offer number line diagrams to practice positioning fractions based on the value they hold. Hold fast to this linear model, for it will soon prove to be a treasure trove of invaluable learning.

Fractions on a Number Line

Comparing Fractions Using Visual Models

Support and witness the kid's transformation from an eager beaver to a problem-solving master with our free worksheets on visual fraction models. Instruct the child to observe the fraction models and compare them using <, >, and = signs.

Comparing Fractions Using Visual Models

Ordering Fractions Using Visual Models

Watch the child in 3rd grade, 4th grade, 5th grade put their industry at the service of ordering fractions using visual models! Celebrate their best yet as they quickly and intelligently order the fractions from least to greatest and from greatest to least.

Ordering Fractions Using Visual Models

Equivalent Fractions Using Visual Models

A great mathematical triumph is in the air! Illustrating the concept to enable perfect understanding of equivalent fractions, this bunch of assessment worksheets boasts practical appeal in spades and helps thrive in the topic of visual fractions.

Equivalent Fractions Using Visual Models

Adding Fractions Using Visual Models

Servicing adding fractions and beyond, these printable worksheets get the students angling for big scores in a key math topic. The task is to find the sum of proper fractions or improper fractions, and the visual aids provided are simply fun.

Adding Fractions Using Visual Models

Subtracting Fractions Using Visual Models

Visual models are immensely likeable as they make subtracting fractions superiorly easy! Call them a subtracting party, these subtraction sentences invite students to complete them, while identifying the pie models that describe the fractions.

Subtracting Fractions Using Visual Models

Multiplying Fractions Using Visual Models

Afire with their desire to excel, the wannabe math stars will find perfect companionship in our pdf visual fraction models worksheets, where number lines, area models, and arrays do their bit to alleviate the stress of multiplying fractions.

Multiplying Fractions Using Visual Models

Dividing Fractions Using Visual Models

A perfect practice dolce vita for the coming-of-age math scholars in grade 5 and grade 6, this resource generously helps master the concept of dividing fractions, thanks in no small part to its colorful visual aids. Get practicing right away!

Dividing Fractions Using Visual Models

Decomposing Fractions Using Visual Models

Do you fancy your name being referred to as the big cheese in the field of fractions? Add decomposing fractions into a sum of smaller fractions to your repertoire. The fraction pies used make the concept super-easy to interpret and solve.

Decomposing Fractions Using Visual Models

Related Printable Worksheets

▶ Adding Fractions

▶ Subtracting Fractions

▶ Multiplying Fractions

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Equivalent Fractions Using Visual Models Worksheets

Explore our printable worksheets on finding equivalent fractions using visual models for grade 3, grade 4, and grade 5 to make headway in identifying as well as representing equivalent fractions! With exercises that present eye-catching, equally split shape visuals, area models, tape diagrams, and more, our pdf equivalent fractions with visual models worksheets are the best in-class assignments! Our resources not only talk children through proper fractions, they also address equivalent improper fractions and equivalent mixed numbers! Try our free worksheets on finding equivalent fractions using visual models now!

Equivalent Fractions on a Number Line Worksheets

Equivalent Fractions on a Number Line Worksheets

Scoop up these pdf worksheets to visualize and identify equivalent fractions using number line models. Study the diagrams, plot equivalent fractions, complete equivalent fraction sentences, and do a lot more!

(15 Worksheets)

Finding Equivalent or Not Equivalent Using Models

Finding Equivalent or Not Equivalent Using Models

Equivalent fractions are best represented using shape models. Observe the 2D shapes like triangles, circles, and hexagons and the fractions they describe; and fit in an = / ≠, checking their equivalence.

  • Download the set

Completing Equivalent Fraction Sentences Using Models

Completing Equivalent Fraction Sentences Using Models

Polish up your skills as you complete the equivalent-fraction sentences using visual models in our printable worksheets! Examine the shaded pieces of the shapes, and fill in the missing parts of equivalent fractions.

Writing Equivalent fractions | Area Models - Proper

Writing Equivalent fractions | Area Models

Looking for easy ways of framing equivalent fraction sentences? This exercise features area models! Count the shaded parts and the number of parts each pie is divided into, and write down the equivalent fractions.

Shading Area Models | Proper

Shading Area Models | Representing Equivalent fractions

A hands-on resource, these pdfs on equivalent fractions with visual models mold 3rd grade, 4th grade, and 5th grade children's skills in representing fraction and mixed-number equivalents in fraction pies.

Writing Equivalent Fractions | Tape Diagrams - Proper

Writing Equivalent Fractions | Tape Diagrams

Are there any other models that represent equivalent fractions other than number lines and area models? Grab this resource! Pore over the shaded parts of tape diagrams, and write the equivalent fractions.

Shading Tape Diagrams | Proper

Shading Tape Diagrams | Representing Equivalent Fractions

Fraction bars or fraction strips are depicted below equivalent proper fractions, equivalent improper fractions, or equivalent mixed numbers. Color the strips accordingly, and check your work using the answer key.

Finding Equivalent Fractions Using Shapes

Finding Equivalent Fractions Using Shapes

How is your prepping shaping up? Prop it up further with this bunch of printable worksheets on equivalent fractions with visual models! Shade the appropriate parts of shapes and find the missing equivalent fraction.

Equivalent Fraction Models - Cut and Glue

Equivalent Fraction Models - Cut and Glue

A delectable pizza activity awaits the 3rd grade, 4th grade, and 5th grade children here! Cut out the pizza models and glue them below the model that represents an equivalent fraction.

Related Worksheets

» Visual Fraction Models

» Multiplying Fractions Using Visual Models

» Simplifying Fractions

» Identifying Fractions

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Addition and Subtraction

Coloring activities, measurement, multiplication, multiplication and division, number patterns, number sense, subtraction, telling time, word problems, ccss ela standards, ccss math standards, visual representation of fractions worksheets, 3rd grade visual representation of fractions worksheets.

interactive | printable worksheet on CCSS 3.NF.A.1 - Representing a Fraction - thumbnail

4th Grade Visual Representation of Fractions worksheets

interactive | printable worksheet on CCSS 4.NF.A.1 - Fractions Visual Representation - thumbnail

5th Grade Visual Representation of Fractions worksheets

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  • Kindergarten

 - Naming Fractions worksheet

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Identify Fractions Free Worksheet

Students will be able to identify fractions based on visual representations as well as construct a visual representation of a fraction .

Example Questions

This worksheet has several types of problems such as:

Example Question

Other Details

This is a 3 part worksheet:

  • Part I Write a fraction based on its visual representation ( worksheet goes hand in hand with online powepoint )
  • Part II Mixed practice questions based on various visual models of fractions including vertical and horizontal bars, jars, and pizzas.
  • Part III Students are asked to shade in pictures to represent a given fraction
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Dividing Fractions by Fractions using Visual Models - 3 examples

Dividing fractions using models with video explanations, and why the keep change flip algorithm works for dividing fractions

Dividing fractions by fractions is a tricky concept! In this post are 3 dividing fractions by fractions using models examples, the connection to the keep, change, flip standard algorithm and videos explaining the examples.

Dividing fractions by fractions is a tricky concept! In this post are 3 dividing fractions by fractions using models examples, the connection to the keep, change, flip standard algorithm and videos explaining the examples.

Fraction multiplication and division references on a 6th grade math word wall

23 comments:

Hi, I like to use the example that is you have 4 pizzas and divide them in half, how many pieces do you have?

visual representation of fractions worksheet

That is a great example. I think that if the kids get comfortable with easier or real-life examples like yours then the concept sticks better when things get more abstract. Thanks so much for sharing.

visual representation of fractions worksheet

Very informative post! I love the visuals. I've taught math for many years and I don't think I could produce these visuals. Thank you for teaching something new to me!

Is there any way you have these videos not on you tube?

I'm assuming this is because YouTube is blocked? If there is a platform you can use, I am open to putting them there. My email is [email protected]

Honestly these show the best examples and its easier :D

Thank you for these examples and visuals. I love the visual of multiplying fractions with grids and overlaying the grids. I have been struggling to make sense of dividing fractions with area models. This makes light bulbs light up! I recently saw your last example done with the grids slid together and two of the blocks moved to fill in the spots. I have examined it from every angle and can find no mathematical justification for "Let's just move these blocks because it makes the model look better." Your explaination makes sense and I now understand what they were trying to show.

I'm so happy to hear this, Mrs. Thomas. This was a concept I only learned in graduate school so it's shocking to me that kids are learning it now as early as 5th grade. I love hearing about your lightbulbs:) Makes me really happy. I hope you are having a great year!

I am glad I found this. My next unit is rational expressions and my students need the fraction review.

I loved teaching rationals! I hope you are having a good year!

Great job. My son love it!! Especially fraction multiplication!!

Yay! That makes me happy to hear:)

Thank you so much for sharing such nice illustrations. Appreciated.

It's really my pleasure. I had a lot of fun pulling this post together.

Great post. Very well explained. Thanks a lot.

I don't like to cancel like numerators and denominators in the multiplication step. By rewriting the numerator as 4*6 and the denominator as 6*3 ==> (4*6)/(6*3) we can show that the factors actually divide out to equal 1. Sometimes students don't understand this.

How would you use a visual for an eighth divided by a fourth? And how do you explain that dividing across can work? Is it just that there has to be a condition where the first denominator is a multiple of the second?

For 1/8 divided by 1/4, you could change the problem to 1/8 divided by 2/8, or "How much of 2/8 fit into 1/8?" The answer would be "Half [of 2/8 fits into 1/8." This is pretty much how you could think about dividing across for this problem, too. Dividing across will work for fractions where one denominator isn't a multiple of the second, but it gets messy. Here is an example: 2/5 divided by 1/3 numerator: 2/1 = 2 denominator: 5/3 So then we have 2/(5/3). This is the quotient, but we still have to clean it up. We can "keep change flip" to 2/1 x 3/5 to find 6/5.

but when you ask 1/4 of 8/20 what do you do?

The "of" in "1/4 of 8/20" means it's a multiplication problem. I have video for fraction multiplication here on my blog: https://www.scaffoldedmath.com/2020/05/multiplying-fractions-visual-models-video.html

How can we use this model to show a whole number divided by a fraction?

A whole number divided by a fraction would also be asking the question, "How many fit?" For example, how many quarters (1/4) fit into $2?

A Visual Fractions Learning Guide

The Progress Chart below contains ten units. To get a sample of the examples contained in each unit you can refer to the PLACEMENT EXAMPLES file. Try the examples in the PLACEMENT EXAMPLES file and then check your answers with the PLACEMENT ANSWERS to see which of the below units you need to work on.

Each unit in this series has a pretest, an instruction section, on-line practice sessions, worksheet practice, and a test.

Begin with the PRETEST and check your answers to determine your understanding of the topic. Continue to the next topic if you understand the PRETEST questions.

If you do not understand the PRETEST questions you should continue to the INSTRUCTION slide show section of the topic.

Do at least 10 examples in each of the ON-LINE PRACTICE exercises in each topic. Use the exercise <REPORT> button if you want to print your score. When finished use the browser <BACK> button to return to this page.

Continue on to the suggested WORKSHEET PRACTICE and check your answers. You might want to do more than the suggested worksheets in that topic.

Finally, do the TEST for that topic and check your answers. If you perform well, you may go on to the next topic. If not, review the instructions and practice more on-line exercises or worksheets in that topic.

Identify Fractions

PRETEST Do Check answers with
INSTRUCTION View slide show Learn how to identify fractions.
ON-LINE PRACTICE Do at least 10 examples with score of 100%.
ON-LINE PRACTICE Do at least 10 examples with score of 100%.
ON-LINE PRACTICE Do at least 10 examples with score of 100%.
WORKSHEET PRACTICE Do . Check answers with .
  Do . Check answers with .
TEST Check answers with

Rename Fraction Form to Mixed Form

PRETEST Do Check answers with
INSTRUCTION View slide show Learn how to rename to mixed fractions..
ON-LINE PRACTICE Do at least 10 examples with score of 100%.
ON-LINE PRACTICE Do at least 10 examples with score of 100%.
WORKSHEET PRACTICE Do . Check answers with .
TEST Do Check answers with

Rename Mixed Form to Fraction Form

PRETEST Do Check answers with
INSTRUCTION View slide show Learn how to rename to fractions form.
ON-LINE PRACTICE Do at least 10 examples with score of 100%
ON-LINE PRACTICE Do at least 10 examples with score of 100%
WORKSHEET PRACTICE Do . Check answers with .
TEST Do Check answers with

Rename to Higher Terms

PRETEST Do . Check answers with .
INSTRUCTION View slide show Learn how to rename to higher terms
ON-LINE PRACTICE Do at least 10 examples with score of 100%
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Rename to Lower Terms

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INSTRUCTION View slide show Learn how to rename to lower terms.
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Compare Fractions

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INSTRUCTION View slide show Learn how to comapare fractions..
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Add Fractions

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INSTRUCTION View slide show Learn how to add fractions.
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Subtract Fractions

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INSTRUCTION View slide show Learn how ro subtract fractions.
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Multiply Fractions

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INSTRUCTION View slide show Learn how to multiply fractions.
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Divide Fractions

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INSTRUCTION View slide show Learn how to divide fractions.
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Addition worksheets, subtraction worksheets, multiplication worksheets, division worksheets, fact family worksheets, long division worksheets, negative numbers, exponents worksheets, order of operations worksheets, fraction worksheets, fractions worksheets, graphic fractions, equivalent fractions, reducing fractions, comparing fractions, adding fractions, subtracting fractions, multiplying fractions, dividing fractions, fractions as decimals, fraction decimal percent, word problems, pre-algebra word problems, money word problems, combining like terms, properties of multiplication, exponent rules, linear equations, one step equations, two step equations, factoring polynomials, quadratic equations, other worksheets, place value, percentages, rounding numbers, ordering numbers, standard, expanded, word form, mean median mode range, ratio worksheets, probability worksheets, roman numerals, factorization, gcd, lcm, prime and composite numbers, pre-algebra, geometry worksheets, blank clocks, telling analog time, analog elapsed time, greater than and less than, arithmetic sequences, geometric sequences, venn diagram, graph worksheets, measurement & conversions, inches measurement, metric measurement, metric si unit conversions, customary unit conversions, customary and metric, patterns and puzzles, number patterns, patterns with negatives, missing operations, magic square, number grid puzzles, word search puzzles, color by number, addition color by number, subtraction color by number, multiplication color by number, division color by number, color by number, holiday & seasonal, valentine's day, st. patrick's day, thanksgiving, early learning, base ten blocks, printable flash cards, number matching, number tracing, missing numbers, picture math addition, picture math subtraction, picture math multiplication, picture math division, multiplication chart, multiplication table, prime numbers chart, hundreds chart, place value chart, roman numerals chart, handwriting paper, graph paper, coordinate plane, spaceship math check-off, square root chart, fraction chart, probability chart, measurement chart, number line, comic strip template, calculators, age calculator, factoring calculator, fraction calculator, slope calculator, degrees to radians, percentage calculator, prime factorization calculator, roman numeral converter, long division calculator, multiplication calculator, math worksheets by grade, preschool math worksheets, kindergarten math worksheets, 1st grade math worksheets, 2nd grade math worksheets, 3rd grade math worksheets, 4th grade math worksheets, 5th grade math worksheets, 6th grade math worksheets, worksheet news, visual fraction calculator, more online calculators, welcome to the fraction calculator.

This page hosts a fraction calculator that can perform addition, subtraction multiplication or division of two fractions. The values for the calculation can be simple or mixed fractions, or consist of only wholes. Input of improper fractions is allowed. Enter the values directly into the corresponding locations in the fraction calculator and the answer will be updated in real time. A visualization of the operand fractions and the answer fraction is shown in the panel underneath where the values are entered.

Complete steps for solving each type of fraction operation will be listed in a version of the fraction calculator coming soon! This part of the fraction calculator is designed to illustrate not just the answers, but provide a learning tool so you can see how the problems were solved.

If you wish to save the fraction calculator showing the problem you're working on, the “Share this Calculation” link can be copied and pasted into an email, your browser bookmarks or a web page. It will return to the fraction calculator and show the problem exactly as you see it.

Don’t just use this fraction calculator to race through your homework! Solve the problems on your own, and use the calculator to check your work or see how to work a problem you don’t understand. This fraction calculator is a useful tool, but it’s not a substitute for a powerful mathematical mind! There is no substitute for developing a solid set of concepts, and this lesson provides an interesting introduction to fractions if you are looking for another approach.

When we learn the basic math operations, we start by dealing with the operations on integers. But the world is full of partial amounts of things... A half cup of sugar in a recipe or six tenths of amile or a quarter dollar. All of these represent a portion of a whole, and that’s exactly what a fraction is. We deal with partial amounts every day, so these ideas are familiar even if the way we have to work with them in math at first seems a little intimidating. Don’t worry! We’ll make it easy!

Real-World Uses for the Fraction Calculator

A fraction is a way to represent in mathematical terms a smaller part of a whole of something. So in our pizza example, if the whole pizza is cut into eight equal slices, and you eat three slices, you would have eaten three out of the eight parts of the whole. We represent this as a fraction as 3/8 and we say, “three eighths” when we read it aloud.

There are special terms for the numbers that make up a fraction. The number on the bottom is called the denominator. This is how many parts the whole is divided into. In our pizza example, the whole is divided into eight parts, so this fraction has a denominator of eight. The word denominator is a fancy word that simply means “the thing that divides.” Sometimes instead of denominator you may encounter the word divisor, but it’s the same thing.

Another way to think about a denominator is to understand it tells you how big each fractional piece is, so for example if our pizza is sliced into eight pieces, you can picture in your mind roughly how big each one is. If our pizza is sliced into 20 slices, you can imagine that each slice is going to be much smaller. This can be a stumbling block… As the denominator gets larger, each fractional part of the whole is actually smaller. This can be confusing when you are first learning about fractions because we are used to larger numbers corresponding to meaning larger real-world values, but in this case a larger value in the divisor may actually make the value of the entire fraction smaller. For example, 1/8 is actually a bigger value (a bigger slice of pizza) than 1/20.

The top number in a fraction is called the numerator, which is just another fancy for that means “the thing that counts.” This represents the actual value in terms of how many parts of the whole are being represented by the fraction. In our pizza example, when you were really hungry and ate three slices, we represented that as the fraction 3/8. The numerator is three in this case and represents the three of the eight parts that make up the whole.

That’s really as complicated as it gets. A simple fraction just has two parts, the numerator on top and the denominator on the bottom. The denominator tells us how many pieces a whole is being divided into, and the numerator tells us how many of those pieces the fraction is meant to represent.

If this still seems a bit fuzzy, here’s another great description of fraction concepts with a few illustrations .

Mixed Fractions and Improper Fractions with the Fraction Calculator

Mixed fractions represent some number of wholes, as well as a fractional part. Three and a half cups of sugar would be an example of something that you would represent with a mixed fraction.

Sometimes working with fractions in the steps you calculate a numerator larger than the denominator. This is called an “improper fraction.” An example would be something like 9/8, which means 9 parts of a whole, where each whole is divided into eight parts. If the devisor is telling us a whole is divided into eight parts, if we have nine parts we have enough for a complete whole with one part left over. So this means 9/8 is the same as one whole plus one part, or the mixed fraction 1/8.

When you are using the fraction calculator on this page, you can enter either improper fractions or mixed fractions and it will calculate the results for you appropriately, but the answer will always be given as a proper fraction.

Reducing Equivalent Fractions with the Fraction Calculator

If you’re really thinking about fractions work, you might see that you can represent the same fractional amount with different fractions that have different denominators. If we go back to visualizing our pizza, if a whole is divided into four parts, half is going to be two slices. However, if the whole is divided instead into eight parts, half of the pizza would be four slices. In these examples, 2/4 and 4/8 are both the same amount of the whole. 2/4, 4/8 and 1/2 are all equivalent fractions because the represent the same real-world amount of a whole value.

Of course, the simplest way to represent any of those values is simple to say, “one half” and the fraction in simplest form that represents this is obviously 1/2. The two in this case is the smallest divisor possible that represents the fraction. Getting to the smallest possible devisor is called “reducing fractions” to their simplest form. This fraction calculator automatically reduces fractions in the answers.

Adding Fractions with the Fraction Calculator

The process of adding fractions is straightforward if the denominators are the same. Simply add the numerators, and the resulting fraction has the same denominator. So one slice of pizza (1/8) plus another (1/8) equals two slices of pizza (2/8). That fraction could be reduced to 1/4, and mentally that makes sense because those two slices represent one quarter of the whole.

If you start with two fractions with different denominators, you need to find the least common denominator. This is the smallest denominator that will work to make equivalent fractions for each of the fractions you are attempting to add. For example, if we were trying to add 3/16 and 1/8, we could turn the 1/8 into the equivalent fraction 2/16. Now we are adding 3/16 and 2/16 which equals 5/16.

You can find more about common denominators in general at WikiPedia but this link provides another good description of actually finding least common denominators at Quick and Dirty Tips .

Even though 2/16 is not a reduced fraction, for purposes of calculating the answer it’s okay to create non-reduced fractions or even improper fractions. We just want to return the fractions in proper reduced form when we provide an answer at the end.

Again, this fraction calculator does all of these steps for you, so if you need to see more examples, try a problem out and see how it works! Noticing that when you are adding fractions, the visual preview in the fraction calculator shows how the two original fractions might combine to form the answer fraction.

Subtracting Fractions with the Fraction Calculator

Subtracting fractions works much the same as adding fractions. You need to insure the fractions have a common denominator, and then just subtract the numerators and reduce the answer fraction.

Just like with addition, if you are starting with a mixed fraction, you may need to convert the fraction to improper form to subtract the numerators. This is the reverse of the procedure we used to create proper fractions. To create an improper fraction, multiply the wholes by the denominator and add it to the numerator value. So 1 and 1/8 is the same as one whole plus one part, or eight parts plus one part, or a total of nine parts. So the proper mixed fraction 1 1/8 as an improper fraction is 9/8.

When subtracting fractions, if you take a larger fraction away from a smaller fraction, you will be left with a negative amount. You’ll show the resulting fraction with negative sign on either the whole amount or the numerator. A negative fraction should only have one negative sign. A common mistake is to think you need to put make both the numerator and the denominator negative if you have a negative answer. Don’t do this! If your answer is negative, you should only see one negative sign on the resulting fraction.

Multiplying Fractions with the Fraction Calculator

Multiplying fractions is in some ways less complicated than adding or subtracting fractions because you don’t need a common denominator. However, a good first step is to see if the one or both of the fractions being multiplied can be reduced. This will make the calculations a little easier.

If either of the fractions are mixed, turn them into improper fractions using as described above. If you are multiplying a fraction by a whole value, turn the whole into a fraction with a denominator of one, so for example the whole 3 is turned into the fraction 3/1 for the sake of doing the multiplication.

Next, to get the numerator for the answer, multiply the two numerators of the fractions you are starting with. To get the denominator, do the same thing, multiply the two denominators and write the result as the denominator in the answer fraction.

There’s a good likelihood that the resulting fraction is improper or could be reduced. You should always reduce your answer and put it in proper form. Again, if you need help with this, try a fraction multiplication problem using the fraction calculator on this page and it will show you an example. This fraction calculator will always simplify fractions in the answer.

Dividing Fractions with the Fraction Calculator

The procedure for dividing fractions is similar to multiplying fractions with one additional step. Start following the steps for multiplying fractions. As soon as you have the two fractions in improper form and you’re ready to multiply the numerators and denominators, you do one more step first. On the second fraction, swap the numerator and the denominator. So the old denominator goes on top and becomes the numerator, and the old numerator goes on bottom and becomes the denominator. Then, finish the procedure for multiplying fractions… Multiply straight across, reduce and simply.

When you swap the numerator and denominator of a fraction, the result is something called a reciprocal. This procedure is sometimes called “inverting” or “taking the reciprocal” of a fraction. A reciprocal of a fraction has an interesting characteristic. If you multiply a fraction and a reciprocal of that fraction, the result will have the same number on the in the numerator and the denominator, which means it will reduce to one. Try it out in the fraction calculator by multiplying 2/3 by 3/2 and see.

Multiplying Fraction Calculator

Simplify Fractions Calculator

This fraction calculator will automatically simplify results. If you need to simplify fractions, this fraction calculator can do the work for you by entering a regular fraction, mixed fraction or improper fraction then multiply the value by one. The fraction calculator will simply the answer for you. For example, if you enter 4/32 x 1 in the fraction calculator, the simplified product is 1/8.

Simplify Fraction Calculator

Mixed Fraction Calculator

This faction calculator handles mixed fractions for all operations and will return the result in simplest form. When the fraction calculator deals with mixed fractions, the procedure is almost always easier if the whole number is multiplied by the denominator and added to the numerator to create an improper fraction. This conversion from mixed numbers to improper fractions allows fraction problems to be treated just as though the whole numbers were not involved.

The fraction calculator does this internally to solve mixed fraction problems.

For adding fractions or subtracting fractions, the fraction calculator still needs to determine a common denominator. Then, after completing the operation, if the resulting fraction is still improper the fraction calculator converts it back to a mixed fraction for use as the answer.

Even once the fraction calculator factors a whole number out of an improper fraction, the resulting mixed fraction may not yet be in simplest form. If the fraction can be reduced, the fraction calculator will find a common divisor of both the numerator and the denominator and then divide both components to simplify the final fraction.

You're Ready for Fractions with Our Online Fraction Calculator

This page has given a very brief overview of fractions, and provided a number of examples that you can try in the fraction calculator. We covered adding fractions, subtracting fractions, multiplying fractions and dividing fractions, plus how to create a proper fraction from an improper fraction (and vice-versa), reducing fractions, finding a least common denominator, plus how take a reciprocal of a fraction. You've seen how to use the fraction calculator to simplify improper fractions, and how to use the fraction calculator to reduce fractions. You can try all of these concepts in the fraction calculator, study the results and you’ll find you’re a fraction rock star in no time!

When you’re ready for more, try out the fractions worksheets below for practice and share this fraction calculator with your friends!

Online Fraction Calculator

Fraction Calculator Updates

DateDescription
03/30/2022Native Vue.js version of the Fraction Calculator.
01/07/2018Modified loading of JavaScript files so that the fraction calculator executes earlier on the page, making the calculator appear earlier during the page load.
10/24/2016When multiplying fractions, the fraction calculator displayed some mixed fractions inconsistently. Added instructions for how to simply fractions using the fraction calculator by multiplying.
10/09/2016Corrected mal-formed HTML in the fraction calculator instructions.
09/27/2016I received some outstanding advice from my friend Maria Miller on the preview portion of the fraction calculator. The previews for adding fractions and subtracting fractions now show small mixed fractions with the wholes component as diagrams instead of numbers. For multiplying fractions, the first multiplicand is shown as a numeric mixed fraction to reinforce the idea that the second fraction is repeated. Similarly, for dividing fractions, the fraction calculator shows the divisor is shown as a mixed fraction to reinforce the idea of the dividend being split up that many times to yield the quotient.

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Scaffolded converting fractions to decimals worksheets (YR 6)

Scaffolded converting fractions to decimals worksheets (YR 6)

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Phillipsadula1's Shop

Last updated

11 September 2024

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visual representation of fractions worksheet

Find included scaffolded (MA/HA) converting fractions to decimals worksheets, suitable for year six. Also includes answers and working.

NC: Pupils can explore and make conjectures about converting a simple fraction to a decimal fraction (for example, 3 ÷ 8 = 0.375).

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Scaffolded SATs ready resources bundle (YR 6)

Year 6 Scaffolded SATs Ready Bundle (SAVE £31!) This comprehensive bundle includes a range of scaffolded resources, perfect for Year 6 students preparing for SATs. This includes all the worksheets and PowerPoints aimed at boosting pupils SATs grades through tackling SATs like questions. These worksheets are designed to support students at different ability levels (LA/MA/HA) and focus on key topics covered in the UK curriculum. Each resource includes clear, step-by-step guidance to ensure students build confidence and understanding in key areas. All resources come with answers for easy marking and feedback. Resources included: 1. Area of shapes (HA) 2. Ratio worksheets (HA) 3. Scaffolded BODMAS worksheets 4. Converting fractions to decimals worksheets 5. Coordinates worksheets 6. Miles and kilometers worksheets 7. Multiplication worksheets 8. Properties of circles worksheets 9. Ratio worksheets (HA) 10. SATs fractions PowerPoint (Meme Edition 2024!) 11. SATs ratio PowerPoint (Meme Edition 2024!) 12. SATs statistics PowerPoint (Meme Edition 2024!) 13. Short division worksheets 14. Place Value Scaffolded Worksheets (including answers) 15. Algebra SATs worksheets including model answers (HA,YR 6) 16. Scaffolded SATs Area and Volume PowerPoint meme edition 2024! (YR 6) All resources are beautifully illustrated, engaging, and scaffolded to support diverse learners. Perfect for classroom use or homework assignments.

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IMAGES

  1. Visual Fractions Worksheet

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  2. Fractions Chart Grade 2-8

    visual representation of fractions worksheet

  3. Pictorial Representation Of Fractions

    visual representation of fractions worksheet

  4. The worksheets on this page introduce visual representations of

    visual representation of fractions worksheet

  5. Fraction Matching Worksheet for kids

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  6. Visual Fractions 2

    visual representation of fractions worksheet

VIDEO

  1. Fraction shapes exercises ||#Fractions

  2. Identifying Fractions

  3. SMART Math Tools

  4. ST Math Visual Fraction Division

  5. Equivalent fractions #shortsvideo

  6. Identifying Fractions

COMMENTS

  1. Visual Fractions Worksheets

    Many of the worksheets will let learners shade number lines and circles to illustrate fraction concepts. The circle and number line images on the following worksheets were made with the Fraction Designer pages that can be found on this web site. These worksheets are pdf documents that may be reproduced for your own use and for your student's ...

  2. Visual Fraction Models Worksheets

    In this visual fraction models pdf worksheet, children identify unit fractions as those that represent one part of a whole using number line diagrams in part A and fraction strips or tape diagrams in part B. Download the set. Equal Parts of a Whole. Draw on the 2D figures here and help 3rd grade kids warm up to the fact that fractions represent ...

  3. Visual Fractions Worksheets

    About These 15 Worksheets. These worksheets use graphical representations to explain and practice the concept of fractions and operations with them. Unlike traditional fraction worksheets that might simply list fractions for simplification or mathematical operations, visual fraction worksheets incorporate images, shapes, and diagrams to ...

  4. Fractions Worksheets

    This Fractions Worksheet is great for teaching different fractions using visual fraction problems. The worksheet will produce fraction representations with denominators of 2 through 12. The students will be asked to identify the fractions for the shaped in shape, and to shade in the shape for the given fraction.

  5. Visual Fractions. Interactive Fraction Visualizer. Just type in the

    Interactive Fraction Visualizer. Type any fraction into the fraction visualizer below, and the visualizer will draw a picture of the fraction as filled circles, filled pizzas to help you visualize the concept of the fraction you typed. To view more APPs, visit us at Mathwarehouse.com.

  6. Free equivalent fractions worksheets with visual models

    Generator. With this worksheet generator, you can make worksheets for equivalent fractions. The worksheet can include problems with visual models (pie images) or not. There are five problem types to choose from: Two fractions are given with 2 empty pie images to color in (e.g. 3/5 = 6/10).

  7. Visual Fraction Models Worksheets

    Visual Models. Raise the bar with our collection of free visual fraction models worksheets. These pdfs feature problems involving well-defined illustrations to give students effective visual representation of fractions. The huge number of tasks such as identifying equal shares, writing fractions based on the colored objects in each group, and ...

  8. Equivalent Fractions Using Visual Models Worksheets

    Equivalent Fractions Using Visual Models Worksheets. Explore our printable worksheets on finding equivalent fractions using visual models for grade 3, grade 4, and grade 5 to make headway in identifying as well as representing equivalent fractions! With exercises that present eye-catching, equally split shape visuals, area models, tape diagrams ...

  9. Graphic Fractions

    The worksheets on this page introduce visual representations of fractions, and ask the student to look at pie chart forms of fractions to determine what the numeric version would be. Another set of worksheets does the reverse, where the student is asked to produce a pie diagram of a fraction given the numeric form.

  10. Visual Representation of Fractions Worksheets

    Explore engaging Visual Representation of Fractions worksheets for learning Fractions on Workybooks. Discover a variety of fun and educational activities with our curated collection of interactive worksheets today!

  11. Fraction Worksheets

    These free worksheets are perfect for students of all ages who are learning or reviewing fractions. Our fraction worksheets cover a range of skills, from simplifying fractions to adding and subtracting fractions with different denominators. Each worksheet includes clear instructions and plenty of space for students to show their work.

  12. Identify Fractions Free Worksheet (pdf) with visual aides, solutions

    This is a 3 part worksheet: Part I Write a fraction based on its visual representation (worksheet goes hand in hand with online powepoint) Part II Mixed practice questions based on various visual models of fractions including vertical and horizontal bars, jars, and pizzas. Part III Students are asked to shade in pictures to represent a given ...

  13. Printable Fractions Worksheets for Teachers

    Visual Fractions Worksheets These fractions worksheets are great for teaching different fractions using visual fraction problems. These worksheets will produce fraction representations with denominators of 2 through 12. The students will be asked to identify the fractions for the shaped in shape, and to shade in the shape for the given fraction.

  14. Dividing Fractions by Fractions using Visual Models

    With (4/5)÷ (2/3), our common denominator is 15, so we can create a grid of 15 spaces. 4/5 takes up 12 of these spaces and 2/3 takes up 10 of these spaces. So all of our 2/3 can fit into 4/5, plus an additional 2. We can then see that (4/5)÷ (2/3) = 1 and 2/10. Here is a video explaining this example: Summary:

  15. Visual Subtracting Simple Fractions Worksheets

    Visual Subtracting Simple Fractions Worksheets. These fractions worksheets are great practice for beginning to subtract simple fractions. These fractions problems include visual representations (Pies) to aid the student in the subtraction. The fractions will have the same denominators and not equal zero.

  16. Print Visual Mixed Numbers Worksheets

    When do we use mixed numbers in the real world? A mixed number is a whole number, and a proper fraction represented together. It generally represents a number between any two whole numbers. Look at the given image, it represents a fraction that is greater than 1 but less than 2. It is thus, a mixed number. For example: 1, 3/4, 3 1/2 etc.

  17. Visual Fractions Progress Plan

    If not, review the instructions and practice more on-line exercises or worksheets in that topic. A printable progress plan in pdf format is available so you can keep track of your progress as you work through these topics. Keep this progress plan to show the work you have accomplished in this visual fractions modeling program.

  18. Print Addition of Visual Fractions Worksheets

    When you have something over 12, each section will turn into in three. You will have 3 out 12 equal sections. 1/4 = 3/12 The whole value will be: 5/6 + 1/4 = 10/12 + 3/12 = 10 + 3/12. It is because you have shaded three times 1/12. These worksheets explain how to add through the use of visual image-based fractions.

  19. Visual Fraction Calculator

    This page hosts a fraction calculator that can perform addition, subtraction multiplication or division of two fractions. The values for the calculation can be simple or mixed fractions, or consist of only wholes. Input of improper fractions is allowed. Enter the values directly into the corresponding locations in the fraction calculator and ...

  20. Visual Representations of Fractions

    Instructions: Choose an answer and hit 'next'. You will receive your score and answers at the end. question 1 of 3. A _____ uses a shape divided into equal sections to represent a fraction. In ...

  21. Scaffolded converting fractions to decimals worksheets (YR 6)

    Find included scaffolded (MA/HA) converting fractions to decimals worksheets, suitable for year six. Also includes answers and working. NC: Pupils can explore and make conjectures about converting a simple fraction to a decimal fraction (for example, 3 ÷ 8 = 0.375).

  22. 10 Helpful Worksheet Ideas for Primary School Math Lessons

    Simple Fraction Addition: Adding fractions with the same denominator using visual aids. Money and Real-Life Application Worksheets Understanding money is both practical and a great way to apply ...