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 292: 60

Answer

$\frac{31}{24x}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $24x$. Therefore, we create a denominator using this LCM and obtain: $\frac{7}{8x}+\frac{5}{12x}$ =$\frac{3(7)+2(5)}{24x}$ =$\frac{21+10}{24x}$ =$\frac{31}{24x}$
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