Basic College Mathematics (10th Edition)

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

Chapter 4 - Decimals - 4.6 Fractions and Decimals - 4.6 Exercises - Page 313: 44



Work Step by Step

We are given the decimal .02. In order to write this decimal as a fraction, we can divide .02 by 1 (which is equivalent to having .02 as the numerator and 1 as the denominator). $.02\div1=\frac{.02}{1}$ Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points and are in simplest form. $\frac{.02}{1}=\frac{.02\times100}{1\times100}=\frac{2}{100}$ Reduce to simplest form. $\frac{2}{100}=\frac{2\div2}{100\div2}=\frac{1}{50}$
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