Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Section 7.2 - Multiplying and Dividing Rational Expressions - Exercise Set: 31

Answer

$\dfrac{5x-10}{12}\div\dfrac{4x-8}{8}=\dfrac{5}{6}$

Work Step by Step

$\dfrac{5x-10}{12}\div\dfrac{4x-8}{8}$ Take out common factor $5$ from the numerator of the first fraction and common factor $4$ from the numerator of the second fraction: $\dfrac{5x-10}{12}\div\dfrac{4x-8}{8}=\dfrac{5(x-2)}{12}\div\dfrac{4(x-2)}{8}=...$ Evaluate the division of the two rational expressions and simplify by removing repeated factors in the numerator and the denominator: $...=\dfrac{40(x-2)}{48(x-2)}=\dfrac{40}{48}=\dfrac{5}{6}$
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.