Answer
$-4\frac{1}{6}$
Work Step by Step
$(\frac{-3}{2})+(\frac{-8}{3})\longrightarrow$ change to customary form
$=(-\frac{3}{2})+(-\frac{8}{3})\longrightarrow$ the least common denominator is 6
$=(-\frac{3\times3}{2\times3})+(-\frac{8\times2}{3\times2})$
$=(-\frac{9}{6})+(-\frac{16}{6})\longrightarrow$ combine the numerators
$=\frac{-9-16}{6}$
$=-\frac{25}{6}\longrightarrow$ simplify
$=-4\frac{1}{6}$