Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 4 - Decimals - 4.1 Reading and Writing Decimal Numbers - 4.1 Exercises - Page 270: 21



Work Step by Step

We are given the number 13.4 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 4. The denominator will be 10, because the rightmost digit of the decimal is in the tenths place. The whole number portion of the fraction will stay the same. $13.4=13\frac{4}{10}$ Simplify. $13\frac{4}{10}=13\frac{4\div2}{10\div2}=13\frac{2}{5}$
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