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: 43

Answer

$\frac{14x}{15}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $30$. Therefore, we create a common denominator using this LCM and obtain: $\frac{2x}{6}+\frac{3x}{5}$ =$\frac{5(2x)+6(3x)}{30}$ =$\frac{10x+18x}{30}$ =$\frac{28x}{30}$ =$\frac{14x}{15}$
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