Elementary Algebra

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

Chapter 7 - Algebraic Fractions - Chapter 7 Review Problem Set: 11

Answer

$\frac{10n-7}{n(n-1)}$

Work Step by Step

First, we find a common denominator. This, upon inspection, is found to be $n(n-1)$. Then, we add the two fractions using this common denominator: $\frac{7}{n}+\frac{3}{n-1}$ =$\frac{7(n-1)+3(n)}{n(n-1)}$ =$\frac{7n-7+3n}{n(n-1)}$ =$\frac{10n-7}{n(n-1)}$
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