## Thinking Mathematically (6th Edition)

$0.\overline{113} = \dfrac{113}{999}$
RECALL: The repeating decimal $0.\overline{a}$ where $a$ is an integer and $100 \le a \le 999$ is equal to $\frac{a}{999}$. Thus, the given repeating decimal when expressed as a quotient of two integers in lowest terms is: $0.\overline{113} = \dfrac{113}{999}$