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
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.
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
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.
There's more to learn
Have a look at these other resources around the BBC and the web.