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: 85

Answer

$\frac{4}{3}x$

Work Step by Step

We first apply the distributive property. Then, we simplify the resultant expression: $\frac{1}{2}x+\frac{2}{3}x+\frac{1}{6}x$ =$x(\frac{1}{2}+\frac{2}{3}+\frac{1}{6})$ =$x(\frac{1(3)+2(2)+1(1)}{6})$ =$x(\frac{3+4+1}{6})$ =$x(\frac{8}{6})$ =$x(\frac{4}{3})$ =$\frac{4}{3}x$
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