Recurring decimals & fractions
Edexcel GCSE Maths revision on Recurring decimals & fractions. Aligned to the Pearson Edexcel GCSE Mathematics 1MA1 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
What is the recurring decimal 0.777... written as a simplified fraction?
- A) Seven ninths exactly
- B) Eight ninths exactly
- C) Seven tenths exactly
- D) Eight tenths exactly
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Answer: Seven ninths exactly
The recurring decimal 0.777... is represented as 7/9. A common misconception is to mistake it for 7/10, which is the terminating decimal 0.7.
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Question 2
Which fraction is equivalent to the recurring decimal 0.454545...?
- A) Forty five over ninety nine
- B) Forty five over ninety one
- C) Forty five over ninety two
- D) Forty five over ninety six
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Answer: Forty five over ninety nine
Since the cycle '45' has two digits, the fraction is 45/99, which simplifies to 5/11. The distractor 45/91 ignores the rule that repeating decimals use denominators composed of nines.
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Question 3
What is the value of 0.1666... expressed as a fraction in its simplest form?
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Answer: 1/6
Setting x = 0.1666... gives 10x = 1.666... and 100x = 16.666... Subtracting these equations results in 90x = 15, which simplifies to 1/6.
Want to test yourself on the remaining cards for this topic?
13 more questions on Recurring decimals & fractions — plus mistakes tracking and spaced repetition across the whole Maths spec.