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 - Page 292: 50



Work Step by Step

By inspection, we see that the LCM of the denominators is $8$. Therefore, we create a common denominator using this LCM and obtain: $\frac{x-2}{4}+\frac{x+4}{8}$ =$\frac{2(x-2)+x+4}{8}$ =$\frac{2x-4+x+4}{8}$ =$\frac{3x+0}{8}$ =$\frac{3x}{8}$
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