1. Выполните действия a) 5/7:3/8 б) 5/9:10/27 в) 4 4/9 : 2 2/3 г) 32/9:8 д) 12/13 : 6

1. Выполните действия

a) $$ \frac{5}{7} : \frac{3}{8} = \frac{5}{7} \times \frac{8}{3} = \frac{5 \times 8}{7 \times 3} = \frac{40}{21} = 1\frac{19}{21} $$.

Ответ: $$1\frac{19}{21}$$

б) $$\frac{5}{9} : \frac{10}{27} = \frac{5}{9} \times \frac{27}{10} = \frac{5 \times 27}{9 \times 10} = \frac{135}{90} = \frac{3}{2} = 1\frac{1}{2} $$.

Ответ: $$1\frac{1}{2}$$

в) $$ 4\frac{4}{9} : 2\frac{2}{3} = \frac{4 \times 9 + 4}{9} : \frac{2 \times 3 + 2}{3} = \frac{40}{9} : \frac{8}{3} = \frac{40}{9} \times \frac{3}{8} = \frac{40 \times 3}{9 \times 8} = \frac{120}{72} = \frac{5}{3} = 1\frac{2}{3}$$.

Ответ: $$1\frac{2}{3}$$

г) $$\frac{32}{9} : 8 = \frac{32}{9} \times \frac{1}{8} = \frac{32 \times 1}{9 \times 8} = \frac{32}{72} = \frac{4}{9}$$.

Ответ: $$\frac{4}{9}$$

д) $$\frac{12}{13} : 6 = \frac{12}{13} \times \frac{1}{6} = \frac{12 \times 1}{13 \times 6} = \frac{12}{78} = \frac{2}{13}$$.

Ответ: $$\frac{2}{13}$$