Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 2 - Real Numbers - 2.2 - Addition and Subtraction of Rational Numbers - Problem Set 2.2: 79

Answer

$\frac{7}{26}$

Work Step by Step

We first apply the distributive property. Then, we simplify the resultant expression: $\frac{7}{13}(\frac{2}{3}-\frac{1}{6})$ =$\frac{7}{13}(\frac{2}{3})-\frac{7}{13}(\frac{1}{6})$ =$\frac{7\times2}{13\times3}-\frac{7\times1}{13\times6}$ =$\frac{14}{39}-\frac{7}{78}$ =$\frac{2(14)-7(1)}{78}$ =$\frac{28-7}{78}$ =$\frac{21}{78}$ =$\frac{7}{26}$
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