0580/22 May/Jun 2021, Question 11: Recurring Decimals
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 1 mark
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The question, in short
Convert the recurring decimal 0.0̇4̇ into a fraction and give it in simplest form.
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Solution · 1 mark
- 1Let x = 0.040404…, so 100x = 4.0404…
- 2100x − x = 4
- 399x = 4, x = 4/99
Answer4/99
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