Elementary Algebra

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

Chapter 7 - Algebraic Fractions - Chapter 7 Test: 8

Answer

$\frac{6x+5}{24}$

Work Step by Step

First, we find the least common multiple of the denominators of the two fractions. This, upon inspection, is found to be $24$. Then, we use the least common multiple to create a common denominator, allowing us to subtract the fractions: $\frac{3x-1}{6}-\frac{2x-3}{8}$ =$\frac{4(3x-1)-3(2x-3)}{24}$ =$\frac{12x-4-6x+9}{24}$ =$\frac{12x-6x-4+9}{24}$ =$\frac{6x+5}{24}$
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