# Multiply fractions and mixed numbers

## Home learning focus

Learn how to multiply fractions and work with mixed numbers.

This lesson includes:

- one video
- a learning summary
- two activity worksheets with answers

# Learn

Remember, a fraction is made up of two parts: a **numerator** (the top number) and a **denominator** (the bottom number).

When **multiplying** fractions, unlike with addition and subtraction, it is *not* necessary to rewrite them with a **common denominator** (where they have been rewritten to become the same number), for example changing the denominator to 6 when working with ¹/₂ and ¹/₃.

Instead, in multiplication, simply **multiply** the numerators to find the new numerator, and multiply the denominators to find the new denominator.

For example: ²/₃ × ³/₅ = ⁶/₁₅

And then simplify where necessary - so in this case:

⁶/₁₅ can be simplified to ²/₅

Click here and read the first section of this KS3 guide from BBC Bitesize to see some further examples of multiplying fractions. You'll also find a video and test there to practise your wider knowledge of fractions.

Now have a look at the Class Clip below from BBC Teach to learn more about multiplying fractions and working with mixed numbers - the section between **01:50** and **02:25** will be especially useful to you.

## Multiplication and mixed numbers

Read the first two sections of this helpful guide from Collins to consolidate your understanding of multiplying fractions and to learn how to perform multiplication with **mixed numbers**.

# Practise

## Activity 1

**Pairs activity**

Test your skills in multiplying fractions and mixed numbers with this fun pair-matching activity from Oxford University Press

## Activity 2

**Multiplying fractions and mixed numbers skills**

Now try this set of worksheets from Hodder Education to practise your skills further in multiplication of fractions and working with mixed numbers. Write your answers on a sheet of paper.

Click here to see the correct answers to the questions.

# There's more to learn

Have a look at these other resources around the BBC and the web.