Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

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

Answer

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

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