Recurring Decimals A recurring decimal (or repeating decimal) is a decimal number in which one or mo

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Recurring Decimals A recurring decimal (or repeating decimal) is a decimal number in which one or more digits repeat infinitely. It is usually denoted with a dot (or a bar) over the repeating part, e.g., $0.\dot{3}$ (or $0.\bar{3}$), which means $0.333...$; or $0.\dot{5}\dot{6}$ (or $0.\overline{56}$), which means $0.565656...$ Any recurring decimal can be expressed as $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne0$, and thus recurring decimals are rational numbers.

Accepted Answer

Every recurring decimal is rational and can be expressed as $\frac{p}{q}$, where $p,q\in\mathbb{Z}$ and $q\ne0$.

Recurring Decimals and Fractions

Recurring Decimals and Fractions

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