4MA1/2HR Jun 2024, Question 18: Recurring Decimals
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 2 marks
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The question, in short
Using algebra, show that the recurring decimal 0.306306… equals 34/111.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1Let x = 0.306306...
- 21000x = 306.306306...
- 31000x − x = 306.306306... − 0.306306...
- 4999x = 306
- 5x = 306 / 999
- 6x = 34 / 111
Answer34/111
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