4.311 Вычислите: a) 5,6: (-1\(\frac{3}{4}\)); б) -\(\frac{4}{5}\): (-0,3); в) -4,8: 1\(\frac{3}{5}\); г) 1,3 : (-\(\frac{1}{4}\)).

Ответ:

1. a) \(5,6: (-1\frac{3}{4}) = \frac{56}{10} : (-\frac{7}{4}) = \frac{28}{5} \cdot (-\frac{4}{7}) = -\frac{28 \cdot 4}{5 \cdot 7} = -\frac{4 \cdot 4}{5} = -\frac{16}{5} = -3.2\)

2. б) \(-\frac{4}{5}: (-0,3) = -\frac{4}{5} : (-\frac{3}{10}) = \frac{4}{5} \cdot \frac{10}{3} = \frac{4 \cdot 10}{5 \cdot 3} = \frac{4 \cdot 2}{1 \cdot 3} = \frac{8}{3} = 2\frac{2}{3}\)

3. в) \(-4,8: 1\frac{3}{5} = -\frac{48}{10} : \frac{8}{5} = -\frac{24}{5} \cdot \frac{5}{8} = -\frac{24 \cdot 5}{5 \cdot 8} = -\frac{3 \cdot 1}{1 \cdot 1} = -3\)

4. г) \(1,3 : (-\frac{1}{4}) = \frac{13}{10} : (-\frac{1}{4}) = \frac{13}{10} \cdot (-4) = -\frac{13 \cdot 4}{10} = -\frac{13 \cdot 2}{5} = -\frac{26}{5} = -5.2\)

Ответ: