## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - 5.3 The Rational Numbers - Exercise Set 5.3 - Page 285: 55

#### Answer

$\frac{257}{999}$

#### Work Step by Step

Repeating decimals of the form $0.\overline{a}$, where $a$ is an integer and $100 \le a \le 999$, can be written in fraction form as: $\dfrac{a}{999}$ With $a=257$, the given repeating decimal can be written in fraction form as: $=\frac{257}{999}$

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