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Fractions

Year 3 · Maths

Explore numbers, spot patterns and explain how you worked it out.

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Learning about fractions

In this Year 3 maths collection, you can practise Fractions on a number line, Adding and subtracting fractions. Choose a game above for a short activity, or explore the examples below before you play. The full guide for each game explains its controls, gives more examples and includes a free printable for practice away from the screen.

Talk it through

Use counters, a drawing or a number line before moving to a mental method. Ask your child to explain a choice, then change one number and try the method again.

Ask: “How could you show the same answer another way?” Give your child time to explain. Return to an example after playing and ask whether they would approach it differently.

Fractions on a number line

In Year 3, pupils learn to recognise and use fractions as numbers: unit fractions such as ⅓ and non-unit fractions such as ⅗, with small denominators. Placing fractions on a number line is one of the clearest ways to see that a fraction is a number with a size, not only a part of a shape.

Try an example: Put ¾ on a line split into quarters.

There are 4 equal gaps. Count 3 from 0.

Show the answer

One step before 1

What to look out for

Counting tick marks instead of gaps. Colour each gap as you count it, or count jumps with a finger.

Read the full Fractions on a number line guide

Adding and subtracting fractions

Year 3 pupils learn to add and subtract fractions with the same denominator within one whole, for example 5/7 + 1/7 = 6/7. When the denominators are the same, every part is the same size, so you just count how many parts you have.

Try an example: 2/9 + 5/9 = ?

2 ninths + 5 ninths = 7 ninths.

Show the answer

7/9

What to look out for

Adding the denominators: 2/7 + 3/7 = 5/14. Say the fractions in words: 'two sevenths plus three sevenths'. Sevenths stay sevenths, just like 2 apples + 3 apples is 5 apples, not 5 'double apples'.

Read the full Adding and subtracting fractions guide

Practise away from the screen

  • Fold a paper strip into halves, then quarters, then eighths, and label the folds.
  • Use a chocolate bar or pizza cut into equal pieces: 2 eighths eaten plus 3 eighths eaten is 5 eighths eaten.

Curriculum connections

These games support selected practice connected to Fractions in the National Curriculum in England. Use your school’s sequence to decide when to introduce and revisit each skill. A game covers selected examples, rather than assessing every requirement.

Read the official Maths programme of study.

Questions families ask

Where should we start with fractions?

Start with Fractions on a number line. Look at the worked example together, then try a round. If the task feels unfamiliar, use the full game guide or its free printable before trying again.

Does this cover everything taught at this level?

No. This collection brings together the games currently available for this learning area. It supports selected skills and does not replace the full programme of study or practical teaching.