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: 8

Answer

$-\dfrac{1}{10}n$

Work Step by Step

Using the $LCD= 30 ,$ the given expression, $ \dfrac{1}{3}n-\dfrac{4}{15}n+\dfrac{5}{6}n-n ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{10}{30}n-\dfrac{8}{30}n+\dfrac{25}{30}n-\dfrac{30}{30}n \\\\= \left( \dfrac{10-8+25-30}{30}\right)n \\\\= \dfrac{-3}{30}n \\\\= -\dfrac{1}{10}n .\end{array}
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