GCSE · Fractions & decimals

The four operations with fractionsExam-style questions

Why adding fractions needs a common denominator but multiplying doesn't, why dividing flips the second fraction, and why mixed numbers must become improper before multiplying or dividing.

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17 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Work out 234×1352\tfrac{3}{4} \times 1\tfrac{3}{5}

    Give your answer as a mixed number in its simplest form.

    You must show all your working.
    Level 4 · 3 marksTry it
  2. 2
    Work out 312÷1253\tfrac{1}{2} \div 1\tfrac{2}{5}

    Give your answer as a mixed number in its simplest form.

    You must show all your working.
    Level 4 · 3 marksTry it
  3. 3
    One batch of pancake mixture needs 34\dfrac{3}{4} of a litre of milk.

    A jug holds 2252\tfrac{2}{5} litres of milk.

    How many complete batches of mixture can be made from the jug?
    Level 4 · 3 marksTry it
  4. 4
    In a school, 23\dfrac{2}{3} of the students walk to school.

    Of the students who walk, 38\dfrac{3}{8} walk with a friend.

    (a) What fraction of the whole school walks with a friend?

    (b) What fraction of the whole school walks alone?
    Level 4 · 4 marksTry it