## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises - Page 335: 45

#### Answer

$0.\overline{5} = \frac{5}{9}$

#### Work Step by Step

RECALL: The repeating decimal $0.\overline{a}$, where $a$ is an integer between 0 and 10, is equal to $\frac{a}{9}$ Thus, the given repeating decimal when expressed as a quotient of two integers in lowest terms is: $0.\overline{5} = \frac{5}{9}$

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