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: 52

Answer

$\frac{1}{3}$

Work Step by Step

Repeating decimals of the form $0.\overline{a}$, where $a$ is an integer and $1 \le a \le 9$, can be written in fractional form as: $\dfrac{a}{9}$ With $a=3$, the given repeating decimal can be written in fractional form as: $=\frac{3}{9} \\=\frac{1}{3}$
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