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.

Start practising Read the lesson

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 3x5+x10\dfrac{3x}{5} + \dfrac{x}{10} as a single fraction in its simplest form.
    Level 2 · 2 marksTry it
  2. 2
    Write x4+x+13\dfrac{x}{4} + \dfrac{x + 1}{3} as a single fraction in its simplest form.
    Level 3 · 2 marksTry it
  3. 3
    Write 2x−14−x−36\dfrac{2x - 1}{4} - \dfrac{x - 3}{6} as a single fraction in its simplest form.
    Level 3 · 3 marksTry it
  4. 4
    Write 2x+1+3x−2\dfrac{2}{x + 1} + \dfrac{3}{x - 2} as a single fraction in its simplest form. [3]
    Level 4 · 3 marksTry it
  5. 5
    Write 52x+34x\dfrac{5}{2x} + \dfrac{3}{4x} as a single fraction in its simplest form.
    Level 4 · 2 marksTry it

6 more questions on adding and subtracting algebraic fractions

Free with an account — just an email, no card. The whole bank, every mark scheme and worked solution.

Start free