1. $$2\frac{3}{4} \cdot \frac{5}{33}$$ 2. $$-3\frac{1}{2} \cdot 2\frac{2}{5}$$ 3. $$-4\frac{5}{7} \cdot (-2\frac{6}{11})$$ 4. $$-3\frac{1}{2} \cdot 2\frac{2}{7}$$ 5. $$4\frac{1}{3}:2\frac{5}{6}$$ 6. $$-7\frac{3}{8}:(-2\frac{1}{16})$$ 7. $$-1\frac{1}{3}:3\frac{1}{6}$$

Решение:

1. $$2\frac{3}{4} \cdot \frac{5}{33} = \frac{11}{4} \cdot \frac{5}{33} = \frac{1}{4} \cdot \frac{5}{3} = \frac{5}{12}$$
2. $$-3\frac{1}{2} \cdot 2\frac{2}{5} = -\frac{7}{2} \cdot \frac{12}{5} = -\frac{7 \cdot 6}{5} = -\frac{42}{5} = -8\frac{2}{5}$$
3. $$-4\frac{5}{7} \cdot (-2\frac{6}{11}) = -\frac{33}{7} \cdot (-\frac{28}{11}) = \frac{33 \cdot 28}{7 \cdot 11} = 3 \cdot 4 = 12$$
4. $$-3\frac{1}{2} \cdot 2\frac{2}{7} = -\frac{7}{2} \cdot \frac{16}{7} = -\frac{1}{2} \cdot 16 = -8$$
5. $$4\frac{1}{3}:2\frac{5}{6} = \frac{13}{3}:\frac{17}{6} = \frac{13}{3} \cdot \frac{6}{17} = \frac{13 \cdot 2}{17} = \frac{26}{17} = 1\frac{9}{17}$$
6. $$-7\frac{3}{8}:(-2\frac{1}{16}) = -\frac{59}{8}:(-\frac{33}{16}) = \frac{59}{8} \cdot \frac{16}{33} = \frac{59 \cdot 2}{33} = \frac{118}{33} = 3\frac{19}{33}$$
7. $$-1\frac{1}{3}:3\frac{1}{6} = -\frac{4}{3}:\frac{19}{6} = -\frac{4}{3} \cdot \frac{6}{19} = -\frac{4 \cdot 2}{19} = -\frac{8}{19}$$

Ответ: 1. $$\frac{5}{12}$$; 2. $$-8\frac{2}{5}$$; 3. $$12$$; 4. $$-8$$; 5. $$1\frac{9}{17}$$; 6. $$3\frac{19}{33}$$; 7. -$$\frac{8}{19}$$.