Вариант 2 a) \frac{3}{7}:\frac{5}{8}; б) \frac{2}{3}:\frac{2}{7}; в) 8\frac{1}{3}:2\frac{2}{3}; г) \frac{6}{11}:3; д) 4:\frac{2}{9} e) 5\frac{1}{3}\cdot2\frac{1}{4}:\frac{4}{5}

Вариант 2

а) $$ \frac{3}{7}:\frac{5}{8} = \frac{3}{7} \cdot \frac{8}{5} = \frac{3 \cdot 8}{7 \cdot 5} = \frac{24}{35} $$

Ответ: $$\frac{24}{35}$$

б) $$ \frac{2}{3}:\frac{2}{7} = \frac{2}{3} \cdot \frac{7}{2} = \frac{2 \cdot 7}{3 \cdot 2} = \frac{7}{3} = 2\frac{1}{3} $$

Ответ: $$2\frac{1}{3}$$

в) $$ 8\frac{1}{3}:2\frac{2}{3} = \frac{8 \cdot 3 + 1}{3}:\frac{2 \cdot 3 + 2}{3} = \frac{25}{3}:\frac{8}{3} = \frac{25}{3} \cdot \frac{3}{8} = \frac{25 \cdot 3}{3 \cdot 8} = \frac{25}{8} = 3\frac{1}{8} $$

Ответ: $$3\frac{1}{8}$$

г) $$ \frac{6}{11}:3 = \frac{6}{11}:\frac{3}{1} = \frac{6}{11} \cdot \frac{1}{3} = \frac{6 \cdot 1}{11 \cdot 3} = \frac{2}{11} $$

Ответ: $$\frac{2}{11}$$

д) $$ 4:\frac{2}{9} = \frac{4}{1}:\frac{2}{9} = \frac{4}{1} \cdot \frac{9}{2} = \frac{4 \cdot 9}{1 \cdot 2} = \frac{2 \cdot 9}{1} = 18 $$

Ответ: $$18$$

e) $$ 5\frac{1}{3}\cdot2\frac{1}{4}:\frac{4}{5} = \frac{5\cdot3+1}{3} \cdot \frac{2\cdot4+1}{4}:\frac{4}{5} = \frac{16}{3} \cdot \frac{9}{4}:\frac{4}{5} = \frac{16}{3} \cdot \frac{9}{4} \cdot \frac{5}{4} = \frac{16 \cdot 9 \cdot 5}{3 \cdot 4 \cdot 4} = \frac{4 \cdot 3 \cdot 5}{4} = 3 \cdot 5 = 15 $$

Ответ: $$15$$