4024/22 May/Jun 2025, Question 24: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 3 marks
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The question, in short
Combine 5/(2x + 1) and 2/(4x − 3) into one fraction, giving the result in its simplest form.
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Solution · 3 marks
- 1Common denominator (2x + 1)(4x − 3)
- 2Numerator: 5(4x − 3) − 2(2x + 1) = 20x − 15 − 4x − 2
- 3= 16x − 17
- 4(16x − 17)/((2x + 1)(4x − 3))
Answer(16x −17)/((2x +1)(4x −3)) or (16x−17)/(8x²−2x−3)
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Also searched as: 4024/22/M/J/25 · 4024_s25_qp_22 · 4024 s25 22 · question 24.
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