GCSE · Algebraic fractions

Adding and subtracting algebraic fractionsExam-style questions

Why algebraic fractions need a common denominator exactly like numeric ones, how the product of the denominators always works, and the bracket-and-sign discipline of the combined numerator.

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

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    Write 3x+2−1x−1\dfrac{3}{x + 2} - \dfrac{1}{x - 1} as a single fraction in its simplest form.
    Level 5 · 3 marksTry it
  2. 2
    Write 4x−1−3x+5\dfrac{4}{x - 1} - \dfrac{3}{x + 5} as a single fraction in its simplest form.
    Level 5 · 3 marksTry it