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: 32

Answer

$\frac{3}{4}$

Work Step by Step

We are given the decimal .75. In order to write this decimal as a fraction, we can divide .75 by 1 (which is equivalent to having .75 as the numerator and 1 as the denominator). $.75\div1=\frac{.75}{1}$ Next, we multiply both the numerator and denominator by factors of 1 until both have no decimal points. $\frac{.75}{1}=\frac{.75\times100}{1\times100}=\frac{75}{100}$ Reduce to simplest form. $\frac{75}{100}=\frac{75\div25}{100\div25}=\frac{3}{4}$
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