Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapters 1-4 Cumulative Review Problem Set: 7

Answer

$\dfrac{1}{4}x$

Work Step by Step

Using the $LCD= 12 ,$ the given expression, $ \dfrac{1}{2}x-\dfrac{3}{4}x+\dfrac{2}{3}x-\dfrac{1}{6}x ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{6}{12}x-\dfrac{9}{12}x+\dfrac{8}{12}x-\dfrac{2}{12}x \\\\= \left( \dfrac{6-9+8-2}{12}\right)x \\\\= \dfrac{3}{12}x \\\\= \dfrac{1}{4}x .\end{array}
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