а) $$ \frac{3}{5} \cdot X = \frac{3}{10} + \frac{2}{5}$$. $$ \frac{3}{5} \cdot X = \frac{3}{10} + \frac{2 \cdot 2}{5 \cdot 2}$$. $$ \frac{3}{5} \cdot X = \frac{3}{10} + \frac{4}{10}$$. $$ \frac{3}{5} \cdot X = \frac{7}{10}$$. $$X = \frac{7}{10} : \frac{3}{5}$$. $$X = \frac{7}{10} \cdot \frac{5}{3}$$. $$X = \frac{7 \cdot 5}{10 \cdot 3}$$. $$X = \frac{7 \cdot 1}{2 \cdot 3}$$. $$X = \frac{7}{6} = 1 \frac{1}{6}$$.
б) $$2 \frac{2}{11} \cdot X = \frac{8}{15} : 2 \frac{1}{5}$$. $$ \frac{2 \cdot 11 + 2}{11} \cdot X = \frac{8}{15} : \frac{2 \cdot 5 + 1}{5}$$. $$ \frac{24}{11} \cdot X = \frac{8}{15} : \frac{11}{5}$$. $$ \frac{24}{11} \cdot X = \frac{8}{15} \cdot \frac{5}{11}$$. $$ \frac{24}{11} \cdot X = \frac{8 \cdot 5}{15 \cdot 11}$$. $$ \frac{24}{11} \cdot X = \frac{8 \cdot 1}{3 \cdot 11}$$. $$ \frac{24}{11} \cdot X = \frac{8}{33}$$. $$ X = \frac{8}{33} : \frac{24}{11}$$. $$ X = \frac{8}{33} \cdot \frac{11}{24}$$. $$ X = \frac{8 \cdot 11}{33 \cdot 24}$$. $$ X = \frac{1 \cdot 1}{3 \cdot 3}$$. $$ X = \frac{1}{9}$$.
Ответ: а) 7/6; б) 1/9.