1. Выполните действия: a) $$\frac{5}{9}:\frac{10}{27} =$$ b) $$4\frac{4}{9}:2\frac{2}{3} =$$ c) $$32:\frac{8}{9} =$$ d) $$\frac{12}{13}:6 =$$ e) $$3\frac{3}{8}:\frac{1}{8}-1\frac{5}{14} \cdot 7 =$$

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ФИО:Телефон:Емаил:Полное описание сути нарушения прав (почему распространение данной информации запрещено Правообладателем):

Accepted Answer

$$\frac{5}{9}:\frac{10}{27} = \frac{5}{9} \cdot \frac{27}{10} = \frac{5 \cdot 27}{9 \cdot 10} = \frac{135}{90} = \frac{3}{2} = 1\frac{1}{2}$$
$$4\frac{4}{9}:2\frac{2}{3} = \frac{40}{9}:\frac{8}{3} = \frac{40}{9} \cdot \frac{3}{8} = \frac{40 \cdot 3}{9 \cdot 8} = \frac{120}{72} = \frac{5}{3} = 1\frac{2}{3}$$
$$32:\frac{8}{9} = \frac{32}{1}:\frac{8}{9} = \frac{32}{1} \cdot \frac{9}{8} = \frac{32 \cdot 9}{1 \cdot 8} = \frac{288}{8} = 36$$
$$\frac{12}{13}:6 = \frac{12}{13}:\frac{6}{1} = \frac{12}{13} \cdot \frac{1}{6} = \frac{12 \cdot 1}{13 \cdot 6} = \frac{12}{78} = \frac{2}{13}$$
$$3\frac{3}{8}:\frac{1}{8}-1\frac{5}{14} \cdot 7 = \frac{27}{8}:\frac{1}{8} - \frac{19}{14} \cdot 7 =$$ $$\frac{27}{8} \cdot \frac{8}{1} - \frac{19 \cdot 7}{14} = 27 - \frac{19}{2} = \frac{54}{2} - \frac{19}{2} = \frac{54-19}{2} = \frac{35}{2} = 17\frac{1}{2}$$