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.

Find out how to multiply fractions and work with mixed numbers

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.

Multiplying fractions and mixed numbers skills

Practise

Activity 1

Pairs activity

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

Mixed number multiplication - pairs activity

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.

Multiplying fractions and working with mixed numbers skills

Click here to see the correct answers to the questions.

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