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 - 5.3 The Rational Numbers - Exercise Set 5.3: 54

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: $=\frac{81}{99} \\=\frac{9}{11}$
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