Multiplying Fractions

Welcome to our Multiplying Fractions page.

Here you will find a range of free printable sheets and support to help your child learn to multiply fractions by integers or other fractions.

Multiplying Fractions

Multiplying Fractions Calculator

Multiply Fractions
Answer
Answer

 
 

Multiplying Fractions Calculator - How It Works

To enter a fraction, you have to enter the numerator followed by '/' followed by the denominator. E.g. 4/5 or 23/7

To enter a mixed fraction, first type the whole number followed by space followed by the numerator followed by '/' followed by the denominator.

E.g. 3 1/4 (3 and a quarter), 7 2/5 (seven and two-fifths), 10 4/11 (10 and four-elevenths).

The answer is given as an improper fraction and a mixed fraction.

If you need support to find out how to multiply fractions, there is more help further down this page!

Multiplying Fractions Information

Here you will find a selection of Fraction worksheets designed to help your child understand how to multiply a fraction by another fraction, or to multiply a fraction by an integer.

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 multiplying fractions, they should be confident with converting improper fractions to mixed numbers, and also using simplest form.

Using these sheets will help your child to:

  • multiply 2 fractions together;
  • multiply a fraction by a whole number;
  • apply their understanding of simplest form;

To multiply mixed fractions, use the link below!

How to Multiply Fractions Support

Frazer says "To multiply a fraction by an integer, or another fraction, follow the simple step below:"

Frazer the Fraction Salamander

Step 1

If the number is an integer (whole number), then rewrite it as a fraction with a denominator of 1.

Multiply the numerators together, then multiply the denominators together.

Step 2

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).

And that's all you need to do to multiply two fractions together.

Examples

Example 1) Multiply   3 5 by   4 9

Step 1)

3 5 x   4 9 =     3x4 5x9 =     12 45

Step 2)

To convert this answer to simplest form, divide the numerator and denominator by their common factor of 3.

12 ÷ 3 = 4; 45 ÷ 3 = 15

So   3 5 x   4 9 =     12 45 =    4  15 in simplest form.

Example 2) Multiply   11 7 by   8

Step 1)

11 7 x   8 =     11 7 x   8 1 =     11x8 7x1 =     88 7

Step 2)

This fraction is already in simplest form.

How to Multiply Fractions Printable Sheet

Multiplying Fractions by an Integer Worksheets

Multiplying Fractions Worksheets

Multiplying and Dividing Fractions Worksheets

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

Once your child has mastered multiplying fractions, they are ready to learn to divide fractions, or to multiply a fraction by a mixed fraction, or multiply two mixed fractions together.

Using these sheets will help your child to:

  • multiply a fraction by a mixed number;
  • multiply two mixed fractions together.

How to Convert Improper Fractions

This support page shows how to convert improper fractions to mixed numbers, and how to convert mixed numbers to improper fractions.

You will also find printable support sheets, and several practice math worksheets for this learning fractions skill.

Simplifying Fractions

This is also sometimes called reducing fractions to their simplest form.

This involves dividing both the numerator and denominator by a common factor to reduce the fraction to the equivalent fraction with the smallest possible numerator and denominator.

The printable fraction page below contains more support, examples and practice about simplifying fractions.

 

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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