4MA1/1HR Jun 2025, 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
Using algebra, prove that the repeating decimal 0.6121212... equals 101/165.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 2 marks
- 1Let x = 0.6121212...
- 21000x = 612.121212...
- 310x = 6.121212...
- 4990x = 606
- 5x = 606/990 = 101/165
Answer0.61̇2̇ = 101/165
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