Выполните действие: a) 7 3/7 : 5/11; б) 25 6/25 · 5/18; в) 3 3/5 · 1 1/9; г) 1 3/7 : 14; д) 9 5/10 : 12/27; е) 13 12 : 6.

Выполните действие:

1. a) $$3\frac{3}{7} : \frac{5}{11} = \frac{24}{7} : \frac{5}{11} = \frac{24}{7} \cdot \frac{11}{5} = \frac{24 \cdot 11}{7 \cdot 5} = \frac{264}{35} = 7\frac{19}{35}$$
2. б) $$6\frac{6}{25} \cdot \frac{5}{18} = \frac{156}{25} \cdot \frac{5}{18} = \frac{156 \cdot 5}{25 \cdot 18} = \frac{26 \cdot 1}{5 \cdot 3} = \frac{26}{15} = 1\frac{11}{15}$$
3. в) $$3\frac{3}{5} \cdot 1\frac{1}{9} = \frac{18}{5} \cdot \frac{10}{9} = \frac{18 \cdot 10}{5 \cdot 9} = \frac{2 \cdot 2}{1 \cdot 1} = 4$$
4. г) $$1\frac{3}{7} : 14 = \frac{10}{7} : 14 = \frac{10}{7} \cdot \frac{1}{14} = \frac{10 \cdot 1}{7 \cdot 14} = \frac{5 \cdot 1}{7 \cdot 7} = \frac{5}{49}$$
5. д) $$9\frac{5}{10} : \frac{12}{27} = \frac{95}{10} : \frac{12}{27} = \frac{95}{10} \cdot \frac{27}{12} = \frac{95 \cdot 27}{10 \cdot 12} = \frac{95 \cdot 27}{5 \cdot 2 \cdot 12} = \frac{2565}{120} = \frac{171}{8} = 21\frac{3}{8}$$
6. е) $$13\frac{12}{13} : 6 = \frac{181}{13} : 6 = \frac{181}{13} \cdot \frac{1}{6} = \frac{181}{78} = 2\frac{25}{78}$$

Ответ: a) $$7\frac{19}{35}$$; б) $$1\frac{11}{15}$$; в) 4; г) $$\frac{5}{49}$$; д) $$21\frac{3}{8}$$; е) $$2\frac{25}{78}$$