4MA1/1HR Jun 2023, Question 16: Recurring Decimals
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 2 marks
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The question, in short
Use algebra to show that the recurring decimal 0.17676… equals 35/198.
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Solution · 2 marks
- 1Let x = 0.17676...
- 2100x = 17.67676...
- 3x = 0.17676...
- 4100x − x = 17.67676... − 0.17676... = 17.5
- 599x = 17.5
- 6x = 17.5 / 99
- 7x = 175 / 990
- 8x = 35 / 198
Answer35/198
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