0580/22 Feb/Mar 2021, Question 8: Recurring Decimals
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 1 mark
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The question, in short
Convert the recurring decimal 0.3̇7̇, where 37 repeats, into a fraction.
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Solution · 1 mark
- 1Let x = 0.373737…, so 100x = 37.3737…
- 2100x − x = 37
- 399x = 37, x = 37/99
Answer37/99
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