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0580/23 Oct/Nov 2021, Question 9: Recurring Decimals

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 1 mark

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The question, in short

Convert the recurring decimal 0.2̇7̇, where 27 repeats, into a fraction.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 1 mark

  1. 1x = 0.2727…, 100x = 27.2727…
  2. 299x = 27
  3. 3x = 27/99 = 3/11

Answer3/11

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