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: 39

Answer

$\frac{2}{50}$

Work Step by Step

We are given the decimal .04. In order to write this decimal as a fraction, we can divide .04 by 1 (which is equivalent to having .04 as the numerator and 1 as the denominator). $.04\div1=\frac{.04}{1}$ Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points and are in simplest form. $\frac{.04}{1}=\frac{.04\times100}{1\times100}=\frac{4}{100}$ Reduce to simplest form. $\frac{4}{100}=\frac{4\div2}{100\div2}=\frac{2}{50}$
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