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: 31

Answer

$\frac{2}{5}$

Work Step by Step

We are given the decimal .4. In order to write this decimal as a fraction, we can divide .4 by 1 (which is equivalent to having .4 as the numerator and 1 as the denominator). $.4\div1=\frac{.4}{1}$ Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points. $\frac{.4}{1}=\frac{.4\times10}{1\times10}=\frac{4}{10}$ Reduce to simplest form. $\frac{4}{10}=\frac{4\div2}{10\div2}=\frac{2}{5}$
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