Lemmara logoLemmaraWorked solution

4024/22 May/Jun 2026, Question 21: Simplifying algebraic fractions

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Simplify two algebraic fractions.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Simplify 8/(32x).

  1. 18 ÷ 8 = 1 and 32 ÷ 8 = 4
  2. 21/(4x)

Answer1/(4x)

Part (b) · 3 marks

Simplify (2f² − 8f)/(f² − 16).

  1. 12f² − 8f = 2f(f − 4)
  2. 2f² − 16 = (f + 4)(f − 4)
  3. 3Cancel (f − 4)
  4. 4= 2f/(f + 4)

Answer2f/(f + 4)

Stuck on a step? Read the free lesson: Algebraic Fractions

Practise more simplifying algebraic fractions questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on simplifying algebraic fractions

Also searched as: 4024/22/M/J/26 · 4024_s26_qp_22 · 4024 s26 22 · question 21.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.