3. Выполните действия: 1) \(0,48:\frac{5}{6}\); 2) \(2\frac{2}{3} \cdot 2,7\); 3) \(2,849:\frac{7}{9}\); 4) \(6,4:1\frac{1}{7}\)

1) \(0,48:\frac{5}{6}=\frac{48}{100}:\frac{5}{6}=\frac{12}{25} \cdot \frac{6}{5}=\frac{72}{125}=0,576\)

2) \(2\frac{2}{3} \cdot 2,7 = \frac{8}{3} \cdot \frac{27}{10}=\frac{4}{1} \cdot \frac{9}{5}=\frac{36}{5}=7,2\)

3) \(2,849:\frac{7}{9}=\frac{2849}{1000}:\frac{7}{9}=\frac{2849}{1000} \cdot \frac{9}{7}=\frac{407}{1000} \cdot 9=\frac{3663}{1000}=3,663\)

4) \(6,4:1\frac{1}{7} = \frac{64}{10}:\frac{8}{7}=\frac{32}{5} \cdot \frac{7}{8}=\frac{4}{5} \cdot 7=\frac{28}{5}=5,6\)

Ответ: 1) \(0,576\); 2) \(7,2\); 3) \(3,663\); 4) \(5,6\)