1) $$ 6 \frac{6}{7} \cdot \frac{3}{8} = \frac{6 \cdot 7 + 6}{7} \cdot \frac{3}{8} = \frac{48}{7} \cdot \frac{3}{8} = \frac{48 \cdot 3}{7 \cdot 8} = \frac{6 \cdot 3}{7 \cdot 1} = \frac{18}{7} $$
Ответ: $$\frac{18}{7}$$
2) $$ 5 \frac{1}{7} \cdot 1 \frac{8}{27} = \frac{5 \cdot 7 + 1}{7} \cdot \frac{1 \cdot 27 + 8}{27} = \frac{36}{7} \cdot \frac{35}{27} = \frac{36 \cdot 35}{7 \cdot 27} = \frac{4 \cdot 5}{1 \cdot 3} = \frac{20}{3} $$
Ответ: $$\frac{20}{3}$$
3) $$ 2 \frac{5}{9} \cdot 2 \frac{2}{7} = \frac{2 \cdot 9 + 5}{9} \cdot \frac{2 \cdot 7 + 2}{7} = \frac{23}{9} \cdot \frac{16}{7} = \frac{23 \cdot 16}{9 \cdot 7} = \frac{368}{63} $$
Ответ: $$\frac{368}{63}$$
4) $$ 1 \frac{1}{9} \cdot 1 \frac{2}{8} = \frac{1 \cdot 9 + 1}{9} \cdot \frac{1 \cdot 8 + 2}{8} = \frac{10}{9} \cdot \frac{10}{8} = \frac{10 \cdot 10}{9 \cdot 8} = \frac{5 \cdot 5}{9 \cdot 2} = \frac{25}{18} $$
Ответ: $$\frac{25}{18}$$