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Year 6: Fraction calculations

Simplify, multiply and divide fractions.

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8 original questions with answers and explanations. Simplify, multiply and divide fractions.

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  1. Simplify 18/24.

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    3/4

    Divide the numerator and denominator by 6.

  2. Calculate 3/4 + 2/3.

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    17/12 or 1 5/12

    Use twelfths: 9/12 + 8/12.

  3. Calculate 5/6 - 1/4.

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    7/12

    10/12 - 3/12 = 7/12.

  4. Calculate 2/3 x 3/5.

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    2/5

    6/15 simplifies to 2/5.

  5. Calculate 3/4 divided by 3.

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    1/4

    Share three quarters into three equal groups.

  6. Find 5/8 of 64.

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    40

    64 divided by 8 = 8; 8 x 5 = 40.

  7. Which is larger: 7/12 or 3/5?

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    3/5

    Compare 35/60 and 36/60.

  8. A bottle holds 1 1/2 litres. You pour out 2/5 litre. How much is left?

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    1 1/10 litres

    15/10 - 4/10 = 11/10.

Curriculum and related practice

All questions, passages and answer guidance were written originally for Trace Learn. Curriculum sources define the teaching scope only.

Department for Education: mathematics programmes of study

Curriculum source checked 2026-09-30.

Questions parents ask

What does this worksheet practise?

Simplify, multiply and divide fractions.

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Try each question before opening its answer. Compare your method with the explanation, then revisit any question you found difficult.

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