0580/23 May/Jun 2025, Question 16: Recurring Decimals
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 3 marks
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The question, in short
Convert the recurring decimal 0.32̇8̇ to a fraction and give it in simplest form.
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Solution · 3 marks
- 1x = 0.32828…, so 10x = 3.2828… and 1000x = 328.2828…
- 21000x − 10x = 328.2828… − 3.2828…
- 3990x = 325
- 4x = 325/990 = 65/198
Answer65/198
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