Multiply fractions by fractions

Home learning focus

Learn how to find the product of two fractions.

This lesson includes:

  • one video
  • two interactive activities


¹/₃ x ¹/₂ also means one third of one half.

This can be shown by folding a piece of paper. Have a look at the diagram below and have a go at folding some paper yourself.

  1. Take a piece of paper. This represents a whole.
  2. Fold it in half lengthways.
  3. Fold it into thirds.
  4. Colour in one square - this is one third of one half.
  5. Can you see that the coloured in section is ¹/₆ ?

How to multiply fractions

To multiply fractions, you need to multiply the numerators together and multiply the denominators together.

¹/₃ x ¹/₂ = ¹/₆

See how it's done in this video from BBC Bitesize.


Activity 1

Multiplying fractions worksheet

Open the worksheet below from HeadStart Primary and write down the answers to the questions - or you could print out the worksheet.

Multiplying fractions worksheet

Finished? Check your answers here.

Activity 2

Multiply fractions by fractions

Have a go at this worksheet from Twinkl all about multiplying fractions by fractions. Can you get them all correct?

Multiply fractions by fraction

Click here for the answers.

There's more to learn

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

KS2 Maths
BBC Bitesize Daily
Primary games
7 - 11 Maths
Maths Challenge
Teacher Talks: Cubes and cuboids