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: 45

Answer

$\frac{13n}{24}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $72$. Therefore, we create a common denominator using this LCM and obtain: $\frac{7n}{8}-\frac{3n}{9}$ =$\frac{9(7n)-8(3n)}{72}$ =$\frac{63n-24n}{72}$ =$\frac{39n}{72}$ =$\frac{13n}{24}$
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