#### Answer

$$\frac{31}{99}$$

#### Work Step by Step

Let
$$
x=0 . \overline{31}=0.313131 \ldots
$$
Then
\begin{aligned} 100 x-x &=31.313131\cdots \cdots-0.313131\cdots \\
99 x &=31\\ x &=\frac{31}{99} \end{aligned}

Chegg costs money, GradeSaver solutions are free!

Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

$$\frac{31}{99}$$

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.