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: 41

Answer

$\frac{47x}{21}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $21$. Therefore, we create a common denominator using this LCM and obtain: $\frac{8x}{3}-\frac{3x}{7}$ =$\frac{7(8x)-3(3x)}{21}$ =$\frac{56x-9x}{21}$ =$\frac{47x}{21}$
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