4MA1/1HR Jan 2023, Question 13: Recurring Decimals
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 2 marks
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The question, in short
Using algebra, show that the recurring decimal 0.381818… equals 21/55.
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Solution · 2 marks
- 1Let x = 0.381818…
- 2100x = 38.181818…
- 310 000x = 3818.181818…
- 4Subtract: 9900x = 3780
- 5x = 3780/9900 = 21/55
AnswerShown: 9900x = 3780, so x = 3780/9900 = 21/55
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