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

Ответ: 0,2

Решение:

• \(3\frac{4}{5}⋅1\frac{1}{9} = \frac{19}{5} * \frac{10}{9} = \frac{190}{45} = \frac{38}{9}\)
• \(2\frac{5}{6} - \frac{38}{9} = \frac{17}{6} - \frac{38}{9} = \frac{17*3}{6*3} - \frac{38*2}{9*2} = \frac{51}{18} - \frac{76}{18} = -\frac{25}{18}\)
• \(-3,75 = -\frac{375}{100} = -\frac{15}{4}\)
• \(-\frac{25}{18} : (-\frac{15}{4}) = \frac{25}{18} * \frac{4}{15} = \frac{100}{270} = \frac{10}{27}\)

Ответ: \(\frac{10}{27}\)