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: 36



Work Step by Step

We are given the decimal .9. In order to write this decimal as a fraction, we can divide .9 by 1 (which is equivalent to having .9 as the numerator and 1 as the denominator). $.9\div1=\frac{.9}{1}$ Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points. $\frac{.9}{1}=\frac{.9\times10}{1\times10}=\frac{9}{10}$ This fraction is in simplest form.
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