(-3/5+2/3)×(1/3+2-3/2)-5/9=
(-3/5+2/3)×(1/3+2-3/2)-5/9=
$\left ( \dfrac{-3}{5} + \dfrac{2}{3} \right ) \cdot \left (\dfrac{1}{3} +2 - \dfrac{3}{2} \right ) -\dfrac{5}{9}=$
$ \left ( \dfrac{-9+10}{15} \right ) \cdot \left ( \dfrac{2+12-9}{6} \right ) -\dfrac{5}{9} =$
$ \dfrac{1}{15} \cdot \dfrac{5}{6} -\dfrac{5}{9} =$
$\dfrac{1}{18} - \dfrac{5}{9} = \dfrac{-9}{18} = -\dfrac{1}{2}$
$\big(-\frac{3}{5}+\frac{2}{3}\big)×\big(\frac{1}{3}+2-\frac{3}{2}\big)-\frac{5}{9}$=
= $\big(\frac{-9 +10}{15}\big)×\big(\frac{2 +12 -9}{6}\big)-\frac{5}{9}$=
= $\frac{1}{15}×\frac{5}{6}-\frac{5}{9}$=
= $\frac{1}{3}×\frac{1}{6}-\frac{5}{9}$=
=$ \frac{1}{18}-\frac{5}{9}$=
=$\frac{1-10}{18}$=
=$-\frac{9}{18}$=
=$-\frac{1}{2}$.