11. \left(2\frac{5}{6}-3\frac{4}{5}\cdot1\frac{1}{9}\right):(-3,75) =

Ответ: -\frac{2}{3}

1) \(3\frac{4}{5} \cdot 1\frac{1}{9} = \frac{19}{5} \cdot \frac{10}{9} = \frac{19 \cdot 2}{1 \cdot 9} = \frac{38}{9}\)

2) \(2\frac{5}{6} - \frac{38}{9} = \frac{17}{6} - \frac{38}{9} = \frac{17 \cdot 3}{6 \cdot 3} - \frac{38 \cdot 2}{9 \cdot 2} = \frac{51}{18} - \frac{76}{18} = -\frac{25}{18}\)

3) \(-3,75 = -3\frac{75}{100} = -3\frac{3}{4} = -\frac{15}{4}\)

4) \(-\frac{25}{18} : \(-\frac{15}{4}\) = \frac{25}{18} \cdot \frac{4}{15} = \frac{5 \cdot 2}{9 \cdot 3} = \frac{10}{27}\)

Ответ: \frac{10}{27}