Dividing Fractions by
Whole Numbers (Integers)

Welcome to our Dividing Fractions by Whole Numbers page.

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

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

Dividing Fractions by Whole Numbers

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

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

Before your child tackles dividing 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 fraction by a whole number;
  • apply their understanding of simplest form;
  • convert an improper fraction to a mixed number.

Dividing Fractions Calculator

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

The calculator can divide fractions by whole numbers, or fractions by other fractions or mixed numbers.

How to Divide Fractions Support

Frazer says "To divide a fraction by an integer, or whole numbers, follow these 4 easy steps."

Frazer the Fraction Salamander

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 first 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 (Optional)

You may want to convert the fraction into its simplest form or convert it back to a mixed fraction (if it is an improper fraction).

How to Divide a Fraction by an Integer Printable Sheet

Examples of Dividing Fractions by Integers

Example 1) Work out: \[{3 \over 4} ÷ 6 \]

Step 1)

Put the integer over a denominator of 1.

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

Step 2)

Invert the dividend fraction and change the operation to multiplication.

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

Now multiply the fractions:

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

Step 3)

Simplify the answer by dividing the numerator and denominator by 3.

\[ {3 \over 24} \; = \; {3 ÷ 3 \over 24 ÷ 3} \; = \; {1 \over 8}\]

Final answer: \[{3 \over 4} ÷ 6 \; = \; {1 \over 8} \]


Example 2) Work out: \[{5 \over 9} ÷ 4 \]

Step 1)

Put the integer over a denominator of 1.

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

Step 2)

Invert the dividend fraction and change the operation to multiplication.

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

Now multiply the fractions:

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

Step 3)

This fraction is already in simplest form.

Final answer: \[{5 \over 9} ÷ 4 \; = \; {5 \over 36} \]


Example 3) Work out: \[ 2 {2 \over 3} ÷ 7 \]

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: \[2 {2 \over 3} ÷ 7 \; = \; {8 \over 3} ÷ {7 \over 1} \]

Step 2)

Invert the dividend fraction and change the operation to multiplication.

So we now have \[{8 \over 3} ÷ {7 \over 1} \; = \; {8 \over 3} \times {1 \over 7}\]

Now multiply the fractions:

\[{8 \over 3} \times {1 \over 7} \; = \; {8 \times 1 \over 3 \times 7} \; = \; {8 \over 21} \]

Step 3)

This fraction is already in simplest form.

Final answer: \[2 {2 \over 3} ÷ 7 \; = \; {8 \over 21} \]


Dividing Fractions by whole numbers

How to Divide Fractions

Here is our support page to help your child understand how to divide a fraction by another fraction.

Dividing Mixed Fractions Worksheets

Here you will find a selection of Fraction worksheets designed to help your child understand how to divide mixed fractions.

Once your child has mastered how to divide fractions, they are ready to learn to divide mixed fractions.

Using these sheets will help your child to:

  • divide a fraction by a mixed number;
  • divide a mixed number by a fraction;
  • divide two mixed fractions.

Converting Improper Fractions

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.

How to Convert to Simplest Form

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.
 

How to Print or Save these sheets

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How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

 

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