0580/22 May/Jun 2026, Question 10: Recurring decimals to fractions
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks
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The question, in short
Convert 0.7333… (the 3 recurs) into a fraction in its simplest form.
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Solution · 3 marks
- 1x = 0.7333…
- 2100x = 73.333…, 10x = 7.333…
- 390x = 66
- 4x = 66/90 = 11/15
Answer11/15
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