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: 46

Answer

$\frac{n}{3}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $30$. Therefore, we create a common denominator using this LCM and obtain: $\frac{8n}{10}-\frac{7n}{15}$ =$\frac{3(8n)-2(7n)}{30}$ =$\frac{24n-14n}{30}$ =$\frac{10n}{30}$ =$\frac{n}{3}$
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