4MA1/2HR Jun 2022, Question 17: Recurring Decimals
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 2 marks
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The question, in short
Use algebra to prove that the recurring decimal 0.345454… equals 19/55.
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Solution · 2 marks
- 1Let x = 0.345454…
- 210x = 3.454545…
- 31000x = 345.454545…
- 4Subtract: 990x = 342
- 5x = 342/990 = 19/55
AnswerShown: 990x = 342, so x = 342/990 = 19/55
Stuck on a step? Read the free lesson: Recurring Decimals
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