337. Выполните умножение: 1) 9\frac{3}{7} .\frac{5}{22}; 2) 6\frac{3}{8} .\frac{16}{17}; 3) 2\frac{1}{3} .1\frac{1}{5}; 4) 19\frac{1}{2} .1\frac{5}{9}; 5) 2\frac{1}{4} .2\frac{2}{27}; 6) 2\frac{8}{11} .5\frac{2}{15}; 7) \frac{7}{9} .1\frac{1}{14} .5\frac{2}{5}; 8) 2\frac{2}{3} .1\frac{1}{24} .5\frac{2}{5}.

Выполним умножение:

1. $$ 9\frac{3}{7} \cdot \frac{5}{22} = \frac{66}{7} \cdot \frac{5}{22} = \frac{3 \cdot 5}{7} = \frac{15}{7} = 2\frac{1}{7} $$
   Ответ: $$2\frac{1}{7}$$
2. $$ 6\frac{3}{8} \cdot \frac{16}{17} = \frac{51}{8} \cdot \frac{16}{17} = \frac{3 \cdot 2}{1} = 6 $$
   Ответ: $$6$$
3. $$ 2\frac{1}{3} \cdot 1\frac{1}{5} = \frac{7}{3} \cdot \frac{6}{5} = \frac{7 \cdot 2}{1 \cdot 5} = \frac{14}{5} = 2\frac{4}{5} $$
   Ответ: $$2\frac{4}{5}$$
4. $$ 19\frac{1}{2} \cdot 1\frac{5}{9} = \frac{39}{2} \cdot \frac{14}{9} = \frac{13 \cdot 7}{1 \cdot 3} = \frac{91}{3} = 30\frac{1}{3} $$
   Ответ: $$30\frac{1}{3}$$
5. $$ 2\frac{1}{4} \cdot 2\frac{2}{27} = \frac{9}{4} \cdot \frac{56}{27} = \frac{1 \cdot 14}{1 \cdot 3} = \frac{14}{3} = 4\frac{2}{3} $$
   Ответ: $$4\frac{2}{3}$$
6. $$ 2\frac{8}{11} \cdot 5\frac{2}{15} = \frac{30}{11} \cdot \frac{77}{15} = \frac{2 \cdot 7}{1 \cdot 1} = 14 $$
   Ответ: $$14$$
7. $$ \frac{7}{9} \cdot 1\frac{1}{14} \cdot 5\frac{2}{5} = \frac{7}{9} \cdot \frac{15}{14} \cdot \frac{27}{5} = \frac{1 \cdot 1 \cdot 3}{2} = \frac{3}{2} = 1\frac{1}{2} $$
   Ответ: $$1\frac{1}{2}$$
8. $$ 2\frac{2}{3} \cdot 1\frac{1}{24} \cdot 5\frac{2}{5} = \frac{8}{3} \cdot \frac{25}{24} \cdot \frac{27}{5} = \frac{8 \cdot 5 \cdot 27}{3 \cdot 24 \cdot 5} = \frac{1 \cdot 1 \cdot 9}{1 \cdot 3 \cdot 1} = 3 $$
   Ответ: $$3$$