0580/21 Oct/Nov 2025, Question 7: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 4 marks
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The question, in short
Simplify two algebraic fraction expressions: a division of p/t by 2/t, and a subtraction of (x − 1)/2 from 3x/4.
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Part (a) · 2 marks
Simplify p/t ÷ 2/t, giving the result as a single fraction.
- 1p/t ÷ 2/t = p/t × t/2
- 2= p/2
Answerp/2
Part (b) · 2 marks
Simplify 3x/4 − (x − 1)/2 into one fraction in its simplest form.
- 13x/4 − 2(x − 1)/4 = (3x − 2(x − 1))/4
- 2= (3x − 2x + 2)/4 = (x + 2)/4
Answer(x + 2)/4 or x/4 + 1/2
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Also searched as: 0580/21/O/N/25 · 0580_w25_qp_21 · 0580 w25 21 · question 7.
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