How do you Multiply Fractions
Support Page

Welcome to our How do you Multiply Fractions support page.

This page will support you in learning how to multiply two fractions together, and show you some worked examples.

How do you Multiply Fractions

Multiply Fractions Calculator

We have a calculator to help you to multiply fractions.

You can use the calculator for multiplying improper fractions or mixed numbers too.

All the working out is shown step-by-step so you can see how it is worked out.

How do you Multiply Fractions Information

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

Using these sheets will help your child to:

  • multiply one fraction by another;
  • apply their understanding of simplest form;
  • convert an improper fraction to a mixed number.

How do you Multiply Fractions Support

Frazer says "To multiply a fraction by another fraction, follow these simple steps."

Frazer the Fraction Salamander

Before you start:

  • Convert any mixed numbers into improper fractions;
  • Put any integers over a denominator of 1.

Step 1

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

Step 2

Simplify the answer if needed.

You should have now found your fraction of a number!

Examples

Example 1) Calculate   \[{3 \over 5} \times {4 \over 9} \]

Step 1)

\[{3 \over 5} \times {4 \over 9} = {3 \times 4 \over 5 \times 9} = {12 \over 45}\]

Step 2)

Simplify the answer by dividing numerator and denominator by 3: \[{12 \over 45} \; = \; {4 \over 15}\]

Final answer: \[{3 \over 5} \times {4 \over 9} \; = \; {4 \over 15}\]


Example 2) Calculate   \[{2 \over 5} \times {5 \over 8} \]

Step 1)

\[{2 \over 5} \times {5 \over 8} = {2 \times 5 \over 5 \times 8} = {10 \over 40}\]

Step 3)

Simplify the answer by dividing numerator and denominator by 10: \[{10 \over 40} \; = \; {1 \over 4}\]

Final answer: \[{2 \over 5} \times {5 \over 8} \; = \; {1 \over 4}\]


Example 3) Calculate   \[{7 \over 4} \times {8 \over 5} \]

Step 1)

\[{7 \over 4} \times {8 \over 5} = {7 \times 8 \over 4 \times 5} = {56 \over 20}\]

Step 3)

Simplify the answer by dividing numerator and denominator by 4: \[{56 \over 20} \; = \; {14 \over 5} \; or \; 2 {4 \over 5}\]

Final answer: \[{7 \over 4} \times {8 \over 5} \; = \; {14 \over 5} \; or \; 2 {4 \over 5}\]


Example 4) Calculate   \[{11 \over 7} \times 8 \]

First we need to put the integer over a denominator of 1. \[8 = {8 \over 1} \]

Step 1)

\[{11 \over 7} \times {8 \over 1} = {11 \times 8 \over 7 \times 1} = {88 \over 7}\]

Step 3)

This fraction is already in its simplest form, but we can convert it into a mixed number: \[{88 \over 7} \; = \; 12 {4 \over 7} \]

Final answer: \[{11 \over 7} \times 8 \; = \; {88 \over 7} \; or \; 12 {4 \over 7} \]


How do you Multiply Fractions Support Sheet

More Recommended Math Resources

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

How to Multiply Mixed Fractions

Multiplying mixed fractions is very similar to multiplying fractions.

If you would like to see some worked examples and support for multiplying mixed fractions, use the link below.

Multiplying Fractions Worksheets

We also have a series of worksheets to help you practice multiplying fractions or multiplying mixed fractions.

The sheets are all carefully graded and the easiest sheets are supported.

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.

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.

Learning Fractions Math Help Page

Here you will find the Math Salamanders free online Math help pages about Fractions.

There is a wide range of help pages including help with:

  • fraction definitions;
  • equivalent fractions;
  • converting improper fractions;
  • how to add and subtract fractions;
  • how to convert fractions to decimals and percentages;
  • how to simplify fractions.
 

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