4024/12 May/Jun 2025, Question 20: Recurring Decimals
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Add the recurring decimal 0.1̇7̇ to 5/9 and express the result as a fraction in simplest form.
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Solution · 4 marks
- 1x = 0.1717…, 100x = 17.1717…
- 299x = 17, so x = 17/99
- 317/99 + 5/9 = 17/99 + 55/99 = 72/99
- 4= 8/11
Answer8/11
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