College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Summary, Review, and Test - Review Exercises - Page 91: 119


$\frac{3}{x}; x \ne 0,2;$

Work Step by Step

$\frac{\frac{1}{x}- \frac{1}{2} }{\frac{1}{3} - \frac{x}{6}}$ Take LCD in numerator and denominator, $= \frac{\frac{2-x}{2x}}{\frac{6-3x}{18}}$ $= \frac{\frac{2-x}{2x}}{\frac{3(2-x)}{18}} ; x \ne 0,2;$ $= \frac{2-x}{2x} \times \frac{18} {3(2-x)}; x \ne 0,2;$ Divide out common factors. $= \frac{3}{x}; x \ne 0,2;$
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