Elementary Technical Mathematics

$-4\frac{1}{6}$
$(\frac{-3}{2})+(\frac{-8}{3})\longrightarrow$ 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 $=-4\frac{1}{6}$