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GCSE Maths: Recurring Decimals to Fractions

Convert recurring decimals to fractions using algebraic proof. Practise it with adaptive questions for AQA, Edexcel, OCR and Eduqas.

NumberFoundation & HigherAQA · Edexcel · OCR · Eduqas

What you need to know

The concepts examiners test on recurring decimals to fractions, and what each one is really asking.

Identify recurring decimals
Convert recurring decimals to fractions
Use algebraic proof for the conversion

Where marks get lost

The exam technique that separates a correct method from a correct answer.

  • Multiplying by the wrong power of 10
  • Not subtracting the original equation correctly
  • Forgetting to simplify the final fraction
  • Confusing which digits repeat (dot notation)

Recurring Decimals to Fractions questions students ask

Is Recurring Decimals to Fractions on the Foundation paper?

Yes. Recurring Decimals to Fractions appears at both Foundation and Higher tier, though Higher papers take it further.

What should I know before starting Recurring Decimals to Fractions?

It builds on Fractions and Decimals and Solving linear equations. If those feel shaky, practise them first — Recurring Decimals to Fractions questions assume them.

What is the most common mistake in Recurring Decimals to Fractions?

Multiplying by the wrong power of 10.

Which exam boards cover Recurring Decimals to Fractions?

All four we support — AQA, Edexcel, OCR and Eduqas. GCSE Maths subject content is set by the DfE, so the topic is common to every board; what changes is the paper structure and the grade boundaries.