1. Вычислите: a)$$\frac{3}{5}:\frac{5}{12}$$; б)$$6\frac{2}{3}:\frac{2}{5}$$; в)$$7\frac{1}{3}:1\frac{2}{9}$$; г) 24:$$3\frac{1}{5}$$; д)$$2\frac{1}{5}:11$$

1. Вычислите:

a) $$ \frac{3}{5}:\frac{5}{12} = \frac{3}{5} \cdot \frac{12}{5} = \frac{3 \cdot 12}{5 \cdot 5} = \frac{36}{25} = 1\frac{11}{25} $$

Ответ: $$1\frac{11}{25}$$

б) $$6\frac{2}{3}:\frac{2}{5} = \frac{6\cdot3 + 2}{3} : \frac{2}{5} = \frac{20}{3} : \frac{2}{5} = \frac{20}{3} \cdot \frac{5}{2} = \frac{20 \cdot 5}{3 \cdot 2} = \frac{100}{6} = \frac{50}{3} = 16\frac{2}{3} $$

Ответ: $$16\frac{2}{3}$$

в) $$7\frac{1}{3}:1\frac{2}{9} = \frac{7\cdot3 + 1}{3} : \frac{1\cdot9 + 2}{9} = \frac{22}{3} : \frac{11}{9} = \frac{22}{3} \cdot \frac{9}{11} = \frac{22 \cdot 9}{3 \cdot 11} = \frac{2 \cdot 3}{1 \cdot 1} = \frac{6}{1} = 6 $$

Ответ: 6

г) $$ 24:3\frac{1}{5} = 24 : \frac{3 \cdot 5 + 1}{5} = 24 : \frac{16}{5} = 24 \cdot \frac{5}{16} = \frac{24 \cdot 5}{16} = \frac{3 \cdot 5}{2} = \frac{15}{2} = 7\frac{1}{2} $$

Ответ: $$7\frac{1}{2}$$

д) $$2\frac{1}{5}:11 = \frac{2 \cdot 5 + 1}{5} : 11 = \frac{11}{5} : 11 = \frac{11}{5} \cdot \frac{1}{11} = \frac{11 \cdot 1}{5 \cdot 11} = \frac{1}{5} $$

Ответ: $$\frac{1}{5}$$