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0580/23 Oct/Nov 2025, Question 26: Algebraic Fractions

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 5 marks

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The question, in short

Simplify two algebraic fraction expressions, giving each as one fraction in its simplest form.

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

Part (a) · 2 marks

Multiply mp over 25y by 15 over m and simplify the result to a single fraction.

  1. 1mp/(25y) × 15/m = 15mp/(25my)
  2. 2= 3p/(5y)

Answer(3p)/(5y)

Part (b) · 3 marks

Add 3 over (2x − 5) and 4 over (x − 3), writing the sum as one simplified fraction.

  1. 1Common denominator (2x − 5)(x − 3)
  2. 2= (3(x − 3) + 4(2x − 5))/((2x − 5)(x − 3))
  3. 3= (3x − 9 + 8x − 20)/((2x − 5)(x − 3)) = (11x − 29)/((2x − 5)(x − 3))

Answer(11x − 29)/((2x − 5)(x − 3)) or (11x − 29)/(2x² − 11x + 15)

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

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Also searched as: 0580/23/O/N/25 · 0580_w25_qp_23 · 0580 w25 23 · question 26.
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