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: 35

Answer

$\dfrac{7}{6p^{2}+q}\div\dfrac{14}{18p^{2}+3q}=\dfrac{3}{2}$

Work Step by Step

$\dfrac{7}{6p^{2}+q}\div\dfrac{14}{18p^{2}+3q}$ Take out common factor $3$ from the denominator of the second fraction: $\dfrac{7}{6p^{2}+q}\div\dfrac{14}{18p^{2}+3q}=\dfrac{7}{6p^{2}+q}\div\dfrac{14}{3(6p^{2}+q)}=...$ Evaluate the division of the two rational expressions and simplify by removing repeated terms in the numerator and the denominator: $...=\dfrac{21(6p^{2}+q)}{14(6p^{2}+q)}=\dfrac{21}{14}=\dfrac{3}{2}$
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