Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 4 - Decimals - 4.1 Reading and Writing Decimal Numbers - 4.1 Exercises - Page 270: 36

Answer

$\frac{123}{250}$

Work Step by Step

We are given the number 0.492 and are asked to convert it into a fraction in simplest terms. The numerator will be the digits to the right of the decimal point, or 492. The denominator will be 1000, because the rightmost digit of the decimal is in the thousandths place. $0.492=\frac{492}{1000}$ Simplify. $\frac{492}{1000}=\frac{492\div4}{1000\div4}=\frac{123}{250}$
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