Basic College Mathematics (9th Edition)

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

Chapter 4 - Decimals - 4.6 Fractions and Decimals - 4.6 Exercises: 43

Answer

$\frac{9}{100}$

Work Step by Step

We are given the decimal .09. In order to write this decimal as a fraction, we can divide .09 by 1 (which is equivalent to having .09 as the numerator and 1 as the denominator). $.09\div1=\frac{.09}{1}$ Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points and are in simplest form. $\frac{.09}{1}=\frac{.09\times100}{1\times100}=\frac{9}{100}$ This fraction is in simplest form.
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