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: 42

Answer

$\frac{11y}{24}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $24$. Therefore, we create a common denominator using this LCM and obtain: $\frac{5y}{6}-\frac{3y}{8}$ =$\frac{4(5y)-3(3y)}{24}$ =$\frac{20y-9y}{24}$ =$\frac{11y}{24}$
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