5/9:(1/11-5/22)+5/9:(1/15-2/3)

$\frac{5}{9}$:($\frac{1}{11}$-$\frac{5}{22}$)+$\frac{5}{9}$:($\frac{1}{15}$-$\frac{2}{3}$)

=$\frac{5}{9}$:$\frac{-3}{22}$+$\frac{5}{9}$:$\frac{-9}{15}$

=$\frac{5}{9}$.$\frac{22}{-3}$+$\frac{5}{9}$.$\frac{15}{-9}$

=$\frac{5}{9}$.($\frac{22}{-3}$+$\frac{5}{-3}$)

=$\frac{5}{9}$.$\frac{27}{-3}$

=$\frac{5}{9}$.(-9)

=-5