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: 80

Answer

$\frac{5}{12}$

Work Step by Step

We first apply the distributive property. Then, we simplify the resultant expression: $\frac{5}{9}(\frac{1}{2}+\frac{1}{4})$ =$\frac{5}{9}(\frac{1}{2})+\frac{5}{9}(\frac{1}{4})$ =$\frac{5\times1}{9\times2}+\frac{5\times1}{9\times4}$ =$\frac{5}{18}+\frac{5}{36}$ =$\frac{5(2)+5(1)}{36}$ =$\frac{10+5}{36}$ =$\frac{15}{36}$ =$\frac{5}{12}$
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