0580/22 May/Jun 2025, Question 14: Recurring Decimals
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 2 marks
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The question, in short
Convert the recurring decimal 0.25 with a dot over the 5 into a fraction, showing the method.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1x = 0.2555…, so 10x = 2.555… and 100x = 25.555…
- 2100x − 10x = 25.555… − 2.555…
- 390x = 23
- 4x = 23/90
Answer23/90
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Also searched as: 0580/22/M/J/25 · 0580_s25_qp_22 · 0580 s25 22 · question 14.
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