Answer
$\frac{257}{999}$
Work Step by Step
Repeating decimals of the form $0.\overline{a}$, where $a$ is an integer and $100 \le a \le 999$, can be written in fraction form as:
$\dfrac{a}{999}$
With $a=257$, the given repeating decimal can be written in fraction form as:
$=\frac{257}{999}$