How can you evaluate 3/x+5/(2x)-11/(3x)?

Jul 17, 2015

You make sure everything has the same denominator ($6 x$).

Explanation:

$= \frac{3}{x} \cdot \frac{6}{6} + \frac{5}{2 x} \cdot \frac{3}{3} - \frac{11}{3 x} \cdot \frac{2}{2}$

$= \frac{18}{6 x} + \frac{15}{6 x} - \frac{22}{6 x}$

$= \frac{18 + 15 - 22}{6 x}$

$= \frac{11}{6 x} = \frac{11}{6} x$