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: 35

Answer

$\frac{13x}{8}$

Work Step by Step

By inspection, we see that the LCM is $8$. Therefore, we create a common denominator to obtain: $\frac{3x}{8}+\frac{5x}{4}$ $=\frac{3x+2(5x)}{8}$ $=\frac{3x+10x}{8}$ $=\frac{13x}{8}$
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