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: 49



Work Step by Step

By inspection, we see that the LCM of the denominators is $9$. Therefore, we create a common denominator using this LCM and obtain: $\frac{x-6}{9}+\frac{x+2}{3}$ =$\frac{1(x-6)+3(x+2)}{9}$ =$\frac{x-6+3x+6}{9}$ =$\frac{4x+0}{9}$ =$\frac{4x}{9}$
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