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 - Page 312: 40

Answer

$\frac{13}{25}$

Work Step by Step

We are given the decimal .52. In order to write this decimal as a fraction, we can divide .52 by 1 (which is equivalent to having .52 as the numerator and 1 as the denominator). $.52\div1=\frac{.52}{1}$ Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points and are in simplest form. $\frac{.52}{1}=\frac{.52\times100}{1\times100}=\frac{52}{100}$ Reduce to simplest form. $\frac{52}{100}=\frac{52\div4}{100\div4}=\frac{13}{25}$
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