Answer
$\frac{1}{9}$
Work Step by Step
Repeating decimals of the form $0.\overline{a}$, where $a$ is an integer and $1 \le a \le 9$, can be written in fractional form as:
$\dfrac{a}{9}$
With $a=1$, the given repeating decimal can be written in fraction form as:
$=\frac{1}{9}$
