Answer
$ = -\frac{5}{24}$
Work Step by Step
1) We need to find a common denominator of $24$, so we multiply the first fraction by $8/8$, the second fraction by $3/3$, and the third fraction by $4/4$.
$= -\frac{2}{3} - \frac{1}{2}(\frac{3}{4}) + \frac{5}{6}$
$= -\frac{2}{3} - \frac{3}{8} + \frac{5}{6}$
$= -\frac{2(8)}{24} - \frac{3(3)}{24} + \frac{5(4)}{24}$
$= -\frac{16}{24} - \frac{9}{24} + \frac{20}{24}$
$= -\frac{25}{24} + \frac{20}{24}$
$ = -\frac{5}{24}$
