Answer
$-\frac{1}{4} $.
Work Step by Step
The given expression is
$=\left (\frac{-2}{3} \right )+\left (-\frac{1}{2} \right )\left (\frac{5}{-6} \right )$
Change to customary form.
$=\left (-\frac{2}{3} \right )+\left (-\frac{1}{2} \right )\left (-\frac{5}{6} \right )$
The product is positive at the right hand side.
$=\left (-\frac{2}{3} \right )+\left (\frac{1}{2} \times \frac{5}{6} \right )$
Simplify.
$=\left (-\frac{2}{3} \right )+\left (\frac{5}{12} \right )$
The LCD is $12$.
$=\left (-\frac{8}{12} \right )+\left (\frac{5}{12} \right )$
$=\frac{-8+5}{12} $
$=\frac{-3}{12} $
$=-\frac{1}{4} $.
