Welcome to our support page to help you learn How to Divide Whole Numbers by Fractions page.

On this page, we have a range of free printable sheets to help your child learn to divide integers (or whole numbers) by fractions.

Take a look at our worked examples or have a go at our practice sheets!

We also have a calculator which will not only give you the answer, but also show you all the working out along the way!

If you need support to divide fractions by other fractions, use the link below.

Quicklinks to ...

- Dividing Whole Numbers By Fractions Introduction
- Dividing Fraction Calculator
- Support
- Examples
- Dividing Whole Numbers by Unit Fractions
- Dividing Whole Numbers By Fractions Worksheets
- Dividing Fractions (by Fractions) Worksheets
- Dividing Mixed Fractions
- More Recommended Resources
- Dividing Whole Numbers By Fractions Quiz

On this page, you will learn how to divide a whole number by a fraction, and also some practice worksheets designed to help your master this skill.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

We have split the sheets into two main sections:

- Dividing Whole Numbers by Unit Fractions
- Dividing Whole Numbers by Non-unit Fractions

Before your child tackles dividing whole numbers by fractions, they should be confident with multiplying fractions, and also converting mixed fractions to improper fractions and reducing fractions to simplest form.

Using these sheets will help your child to:

- divide a whole number by a fraction;
- apply their understanding of simplest form;
- convert an improper fraction to a mixed number.

If you want to divide any fractions, you can use our Free Divide Fractions calculator.

The calculator will help you dividing whole numbers by fractions, or fractions by other fractions or mixed numbers.

The best thing about the calculator is that it also shows you all the working out along the way.

Frazer says "To divide a whole number by a fraction, follow these 4 easy steps."

Step 1

Change the whole number to a fraction by putting it over a denominator of 1.

If any of the fractions are mixed fractions (or mixed numbers), then convert them into improper fractions.

Step 2

Swap the numerator and denominator of the dividend fraction (the fraction after the ÷ sign) and change the operator to a 'x' instead of a '÷ '

Step 3

Multiply the numerators of the fractions together, and the denominators of the fractions together. This will give you the answer.

Step 4

Simplify the fraction.

For those of you who like to see the algebra:

Formula for dividing a whole number by a fraction.

\[a \div {b \over c} \; = \; {a \over 1} \times {c \over b} \; = \; {a \times c \over 1 \times b} \; = \; {ac \over b} \]

Step 1)

Put the integer over a denominator of 1.

So this gives us: \[ 6 \div {3 \over 4} \; = \; {6 \over 1} \div {3 \over 4} \]

Step 2)

Invert the dividend fraction and change the operation to multiplication.

So we now have \[ {6 \over 1} \div {3 \over 4} \; = \; {6 \over 1} \times {4 \over 3}\]

Now multiply the fractions:

\[{6 \over 1} \times {4 \over 3} \; = \; {6 \times 4 \over 1 \times 3} \; = \; {24 \over 3} \]

Step 3)

Simplify the answer.

\[ {24 \over 3} \; = \; 8 \]

Final answer: \[ 6 \div {3 \over 4} \; = \; 8 \]

Step 1)

Put the integer over a denominator of 1.

So this gives us: \[ 4 \div {5 \over 9} \; = \; {4 \over 1} \div {5 \over 9} \]

Step 2)

Invert the dividend fraction and change the operation to multiplication.

So we now have \[{4 \over 1} \div {5 \over 9} \; = \; {4 \over 1} \times {9 \over 5} \]

Now multiply the fractions:

\[{4 \over 1} \times {9 \over 5} \; = \; {4 \times 9 \over 1 \times 5} \; = \; {36 \over 5} \]

Step 3)

This fraction is already in simplest form, but we can convert it to a mixed number.

\[ {36 \over 5} \; = \; 7 {1 \over 5} \]

Final answer: \[ 4 \div {5 \over 9} \; = \; {36 \over 5} \; or \; 7 {1 \over 5} \]

Step 1)

Convert the mixed number to an improper fraction and put the integer over a denominator of 1.

As an improper fraction: \[ 2 {2 \over 3} \; = \; {8 \over 3} \]

So this gives us: \[ 10 \div 2 {2 \over 3} \; = \; {10 \over 1} \div {8 \over 3} \]

Step 2)

Invert the dividend fraction and change the operation to multiplication.

So we now have \[{10 \over 1} \div {8 \over 3} \; = \; {10 \over 1} \times {3 \over 8} \]

Now multiply the fractions:

\[{10 \over 1} \times {3 \over 8} \; = \; {10 \times 3 \over 1 \times 8} \; = \; {30 \over 8} \]

Step 3)

This fraction needs to be simplified and can also be written as a mixed number.

\[ {30 \over 8} \; = \; {15 \over 4} \; = \; 3 {3 \over 4} \]

Final answer: \[10 \div 2 {2 \over 3} \; = \; {15 \over 4} \; or \; 3 {3 \over 4} \]

We have created a support page to help you understand how to divide whole numbers by fractions with some examples.

It is quick and easy to print, and has all the information on one page.

A unit fraction is a fraction which has a numerator of 1.

Dividing whole numbers by unit fractions is a Common Core objective for 5th grade.

Our sheets are carefully graded and get gradually harder.

Our first two worksheets have been designed to introduce this concept, and include using visual models to aid understanding.

Sheet 3 is for children who are confident with this process and need some practice.

Sheet 4 is trickier and involves finding the missing number or fraction in the equation.

Sheet 5 consists of a series of challenges which involve using the skill of dividing whole numbers by unit fractions.

These fraction sheets have fraction strips to help you find the number of times the fraction goes into the whole number.

The first 3 sheets involve dividing whole numbers by proper fractions.

Sheets 4 & 5 involve dividing whole numbers by mixed numbers.

These sheets involve both dividing whole numbers by fractions and also dividing fractions by whole numbers.

The first two sheets involve dividing by proper and improper fractions.

Sheet 3 involves dividing by mixed numbers.

Use these sheets to practice your division of whole by fractions and also division of fractions by whole numbers.

Take a look at some more of our worksheets similar to these.

The links below will take you to our support pages for multiplying and dividing fractions.

All the support pages contain detailed explanations and some worked examples.

The links below will take you to our worksheets for multiplying and dividing fractions.

The worksheets are all carefully graded and have different levels of support for students.

Here you will find a selection of Fraction worksheets designed to help your child understand how to convert an improper fraction to a mixed number.

Using these sheets will help your child to:

- convert an improper fraction to a mixed number;
- convert a mixed number to an improper fraction.

Here you will find a selection of Fraction worksheets designed to help your child understand how to convert a fraction to its simplest form.

Using these sheets will help your child to:

- develop an understanding of equivalent fractions;
- know when a fraction is in its simplest form;
- convert a fraction to its simplest form.

We have created a random generator for making your own adding and subtracting fractions worksheets.

You can change your fraction values, choose whether you want like or unlike denominators or change from proper to improper fractions.

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your understanding and skill at dividing whole numbers by fractions.

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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