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 291: 44

Answer

$\frac{5x}{4}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $36$. Therefore, we create a common denominator using this LCM and obtain: $\frac{6x}{9}+\frac{7x}{12}$ =$\frac{4(6x)+3(7x)}{36}$ =$\frac{24x+21x}{36}$ =$\frac{45x}{36}$ =$\frac{15x}{12}$ =$\frac{5x}{4}$
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