Elementary Algebra

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

Chapter 7 - Algebraic Fractions - Chapter 7 Test - Page 323: 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: $\frac{3}{2x}-\frac{5}{6}+\frac{7}{9x}$ =$\frac{3(9)-5(3x)+2(7)}{18x}$ =$\frac{27-15x+14}{18x}$ =$\frac{27+14-15x}{18x}$ =$\frac{41-15x}{18x}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.