Answer
$f=\displaystyle \frac{pq}{p+q}$
Work Step by Step
Get rid of fractions (multiply with LCD=pqf)
$ qf+pf=pq\qquad$ ... factor out f
$ f(q+p)=pq\qquad$ ... divide with $(q+p)$ to isolate f
$f=\displaystyle \frac{pq}{p+q}$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 6 - Section 6.7 - Formulas and Applications of Rational Equations - Exercise Set - Page 475: 3
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