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: 40

Answer

$\frac{43y}{20}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $20$. Therefore, we create a common denominator to obtain: $\frac{3y}{4}+\frac{7y}{5}$ $=\frac{5(3y)+4(7y)}{20}$ $=\frac{15y+28y}{20}$ $=\frac{43y}{20}$
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