4MA1/2H Jun 2025, Question 18: Recurring decimals to fractions
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 2 marks
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The question, in short
Use algebra to show that the recurring decimal 0.702702… equals 26/37.
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Solution · 2 marks
- 1x = 0.702702…
- 21000x = 702.702702…
- 31000x − x = 702
- 4999x = 702
- 5x = 702/999 = 26/37
Answer0.7̇02̇ = 26/37
Stuck on a step? Read the free lesson: Recurring Decimals
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