Elementary Algebra

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

Chapter 7 - Algebraic Fractions - 7.3 - Adding and Subtracting Algebraic Fractions - Problem Set 7.3: 54

Answer

$\frac{-3n-16}{12}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $12$. Therefore, we create a common denominator using this LCM and obtain: $\frac{5n-2}{12}-\frac{4n+7}{6}$ =$\frac{1(5n-2)-2(4n+7)}{12}$ =$\frac{5n-2-8n-14}{12}$ =$\frac{5n-8n-2-14}{12}$ =$\frac{-3n-16}{12}$
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