[(1/10+1/5)×(1/9+1/3)] : (2+1/5-1)+2/9=
[(1/10+1/5)×(1/9+1/3)] : (2+1/5-1)+2/9=
$\big[\big(\frac{1}{10}+\frac{1}{5}\big)\big(\frac{1}{9}+\frac{1}{3}\big)\big] : \big(2+\frac{1}{5}-1\big)+\frac{2}{9}$ =
= $\big[\big(\frac{1+2}{10}\big)\big(\frac{1+3}{9}\big)\big] : \big(\frac{10+1-5}{5}\big)+\frac{2}{9}$ =
= $\big[\frac{3}{10}×\frac{4}{9}\big] : \frac{6}{5}+\frac{2}{9}$ =
= $\big[\frac{1}{5}×\frac{2}{3}\big] × \frac{5}{6}+\frac{2}{9}$ =
= $\frac{2}{15} × \frac{5}{6}+\frac{2}{9}$ =
= $\frac{1}{3} × \frac{1}{3}+\frac{2}{9}$ =
= $\frac{1}{9}+\frac{2}{9}=\frac{3}{9}=\frac{1}{3}$