Answer
$\frac{9}{11}$
Work Step by Step
Repeating decimals of the form $0.\overline{a}$, where $a$ is an integer and $10 \le a \le 99$, can be written in fraction form as:
$\dfrac{a}{99}$
With $a=81$, the given repeating decimal can be written in fraction form as:
$=\frac{81}{99}
\\=\frac{9}{11}$