№2. Выполни умножение смешанных чисел: 1) $$5\frac{1}{3} \cdot 6$$; 2) $$7\cdot 1\frac{1}{3}$$; 3) $$1\frac{3}{4} \cdot 2$$; 4) $$8\cdot 3\frac{1}{2}$$; 5) $$2\frac{7}{9} \cdot 3\frac{3}{5}$$; 6) $$3\frac{7}{9} \cdot 1\frac{1}{17}$$; 7) $$5\frac{1}{6} \cdot 3\frac{3}{7}$$; 8) $$7\frac{1}{3} \cdot 2\frac{2}{11}$$

Решение:

1. $$5\frac{1}{3} \cdot 6 = \frac{16}{3} \cdot 6 = \frac{16 \cdot 6}{3} = 16 \cdot 2 = 32$$
2. $$7\cdot 1\frac{1}{3} = 7 \cdot \frac{4}{3} = \frac{7 \cdot 4}{3} = \frac{28}{3} = 9\frac{1}{3}$$
3. $$1\frac{3}{4} \cdot 2 = \frac{7}{4} \cdot 2 = \frac{7 \cdot 2}{4} = \frac{14}{4} = \frac{7}{2} = 3\frac{1}{2}$$
4. $$8\cdot 3\frac{1}{2} = 8 \cdot \frac{7}{2} = \frac{8 \cdot 7}{2} = 4 \cdot 7 = 28$$
5. $$2\frac{7}{9} \cdot 3\frac{3}{5} = \frac{25}{9} \cdot \frac{18}{5} = \frac{25 \cdot 18}{9 \cdot 5} = \frac{5 \cdot 2}{1} = 10$$
6. $$3\frac{7}{9} \cdot 1\frac{1}{17} = \frac{34}{9} \cdot \frac{18}{17} = \frac{34 \cdot 18}{9 \cdot 17} = \frac{2 \cdot 2}{1} = 4$$
7. $$5\frac{1}{6} \cdot 3\frac{3}{7} = \frac{31}{6} \cdot \frac{24}{7} = \frac{31 \cdot 24}{6 \cdot 7} = \frac{31 \cdot 4}{7} = \frac{124}{7} = 17\frac{5}{7}$$
8. $$7\frac{1}{3} \cdot 2\frac{2}{11} = \frac{22}{3} \cdot \frac{24}{11} = \frac{22 \cdot 24}{3 \cdot 11} = \frac{2 \cdot 8}{1} = 16$$

Ответ: 1) 32; 2) $$9\frac{1}{3}$$; 3) $$3\frac{1}{2}$$; 4) 28; 5) 10; 6) 4; 7) $$17\frac{5}{7}$$; 8) 16.