# Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises - Page 335: 46

$0.\overline{34} = \dfrac{34}{99}$

#### Work Step by Step

The repeating decimal $0.\overline{a}$ where $a$ is an integer and $10 \le a \le 99$ is equal to $\frac{a}{99}$. Thus, the given repeating decimal when expressed as a quotient of two integers in lowest terms is: $0.\overline{34} = \dfrac{34}{99}$

After 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.