## College Algebra (6th Edition)

$\frac{3}{x}; x \ne 0,2;$
$\frac{\frac{1}{x}- \frac{1}{2} }{\frac{1}{3} - \frac{x}{6}}$ 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. $= \frac{3}{x}; x \ne 0,2;$