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: 69

Answer

$\frac{-n+3}{n(n-1)}$

Work Step by Step

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