Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - Chapter 7 Test: 10

Answer

$\frac{41-15x}{18x}$

Work Step by Step

First, we find the least common multiple of the denominators of the fractions. This, upon inspection, is found to be $18x$. Then, we use the least common multiple to create a common denominator, allowing us to combine the fractions: $\frac{3}{2x}-\frac{5}{6}+\frac{7}{9x}$ =$\frac{3(9)-5(3x)+2(7)}{18x}$ =$\frac{27-15x+14}{18x}$ =$\frac{27+14-15x}{18x}$ =$\frac{41-15x}{18x}$
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