[tex]a) \ \frac{6}{7}\cdot\frac{1}{5} = \frac{6}{35}\\\\\\b) \ \frac{3}{8}\cdot\frac{5}{12} = \frac{3}{12}\cdot\frac{5}{8} = \frac{1}{4}\cdot\frac{5}{8} = \frac{5}{32}\\\\\\c) \ \frac{22}{50}\cdot\frac{10}{11} = \frac{22}{11}\cdot\frac{10}{50} =2\cdot\frac{1}{5} = \frac{2}{5}\\\\\\d) \ 1\frac{5}{7}\cdot4\frac{2}{3} = \frac{12}{7}\cdot\frac{14}{3} = \frac{12}{3}\cdot\frac{14}{7}=4\cdot2 = 8\\\\\\e) \ 3\frac{3}{5}\cdot7\frac{1}{2} = \frac{18}{5}\cdot\frac{15}{2} = \frac{18}{2}\cdot\frac{15}{5} = 9\cdot3 = 27[/tex]
[tex]f) \ 24\frac{3}{5}\cdot\frac{15}{246} = \frac{123}{5}\cdot\frac{15}{246} = \frac{123}{246}\cdot\frac{15}{5} = \frac{1}{2}\cdot3 = \frac{3}{2} = 1\frac{1}{2}\\\\\\g) \ 11\frac{1}{10}\cdot\frac{1}{37} = \frac{111}{10}\cdot\frac{1}{37} = \frac{111}{370}[/tex]
