Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.3 Multiplying and Dividing Rational Expressions - 7.3 Exercises - Page 580: 28


$= \frac{1}{35}$

Work Step by Step

$\frac{w+2}{10w+15} \div \frac{7w+14}{2w+3}$ $= \frac{w+2}{10w+15} \times \frac{2w+3}{7w+14}$ $= \frac{w+2}{5(2w+3)} \times \frac{2w+3}{7(w+2)}$ $= \frac{1}{5(2w+3)} \times \frac{2w+3}{7(1)}$ $= \frac{1}{5(1)} \times \frac{1}{7(1)}$ $= \frac{1}{35}$
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