Answer
$-\frac{7}{18}$
Work Step by Step
$-\frac{5}{6}+\frac{4}{9}=-\frac{5\times3}{6\times3}+\frac{4\times2}{9\times2}=-\frac{15}{18}+\frac{8}{18}$
$\frac{8}{18}-\frac{15}{18}=\frac{8}{18}+(-\frac{15}{18})=\frac{8+(-15)}{18}=\frac{-7}{18}=-\frac{7}{18}$