## Exam-Style Question on Recurring Decimals## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 235. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

(a) Use algebra to show that the recurring decimal \(0.\dot2 \dot4\) can be written as \( \frac{8}{33}\).

(b) Find the fraction, in its lowest terms, equal to the recurring decimal \(0.5 \dot2 \dot4\).

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