GCSE · Linear equations

Equations with fractionsExam-style questions

Why multiplying EVERY term by a common denominator clears the fractions, where cross-multiplication comes from (and its bracket discipline), and how one clearing move turns any fractional equation into an ordinary one.

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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    Solve 2x+13=x−24\dfrac{2x + 1}{3} = \dfrac{x - 2}{4}
    Level 4 · 3 marksTry it
  2. 2
    Solve x4−x6=2\dfrac{x}{4} - \dfrac{x}{6} = 2
    Level 4 · 2 marksTry it
  3. 3
    Solve x+12+x−23=4\dfrac{x + 1}{2} + \dfrac{x - 2}{3} = 4
    Level 4 · 3 marksTry it
  4. 4
    Solve 2x5+x2=9\dfrac{2x}{5} + \dfrac{x}{2} = 9
    Level 4 · 3 marksTry it
  5. 5
    Solve 2x−35=x−3\dfrac{2x - 3}{5} = x - 3
    Level 4 · 3 marksTry it