4MA1/2H Jan 2023, Question 16: Recurring Decimals
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 2 marks
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The question, in short
Using algebra, show that the recurring decimal 0.4383838… equals 217/495.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1Let x = 0.43838...
- 21000x = 438.3838...
- 310x = 4.3838...
- 41000x − 10x = 438.3838... − 4.3838...
- 5990x = 434
- 6x = 434 / 990
- 7x = 217 / 495
Answer217/495
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