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
    Write these numbers in order of size, starting with the smallest.

    0.454944%370.45 \qquad \dfrac{4}{9} \qquad 44\% \qquad \dfrac{3}{7}

    (2 marks)
    Level 2 · 2 marksTry it
  2. 2
    Work out 123÷2121\frac{2}{3} \div 2\frac{1}{2}

    Give your answer as a fraction in its simplest form. (3 marks)
    Level 2 · 3 marksTry it
  3. 3
    Work out 213×1152\dfrac{1}{3} \times 1\dfrac{1}{5}

    Give your answer as a mixed number in its simplest form. [3]
    Level 2 · 3 marksTry it
  4. 4
    Work out

    (a) 25+14\dfrac{2}{5} + \dfrac{1}{4}

    (b) 56−38\dfrac{5}{6} - \dfrac{3}{8}

    Give each answer in its simplest form.
    Level 2 · 4 marksTry it