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4024/11 Oct/Nov 2025, Question 18: Recurring decimals

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

Convert 0.1444… (the 4 recurs) into a fraction.

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Solution · 2 marks

  1. 1Let x = 0.1444…
  2. 2100x = 14.444… and 10x = 1.444…
  3. 390x = 13
  4. 4x = 13/90

Answer13/90

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