4MA1/1H Jun 2019, Question 15: Recurring Decimals
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 2 marks
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The question, in short
Using algebra, show that the recurring decimal 0.25454… equals 14/55.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1Let x = 0.25454…, so 10x = 2.5454… and 1000x = 254.5454…
- 2Subtract: 1000x − 10x = 254.5454… − 2.5454…, so 990x = 252
- 3x = 252/990 = 14/55
Answer14/55
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