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: 50

Answer

$\frac{3x}{8}$

Work Step by Step

By inspection, we see that the LCM of the denominators is $8$. Therefore, we create a common denominator using this LCM and obtain: $\frac{x-2}{4}+\frac{x+4}{8}$ =$\frac{2(x-2)+x+4}{8}$ =$\frac{2x-4+x+4}{8}$ =$\frac{3x+0}{8}$ =$\frac{3x}{8}$
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.