Solve the following expression: \(\frac{\left(2\frac{3}{4}-3\frac{1}{7}\right) \cdot \left(-\frac{4}{11}\right) \cdot \frac{5}{7}}{\frac{3}{4} : (-0.1875) + 3.5} = ?\)

Решение:

1. Числитель:
   1. \(2\frac{3}{4} = \frac{2 \cdot 4 + 3}{4} = \frac{11}{4}\)
   2. \(3\frac{1}{7} = \frac{3 \cdot 7 + 1}{7} = \frac{22}{7}\)
   3. \(\frac{11}{4} - \frac{22}{7} = \frac{11 \cdot 7 - 22 \cdot 4}{4 \cdot 7} = \frac{77 - 88}{28} = -\frac{11}{28}\)
   4. \(-\frac{11}{28} \cdot \left(-\frac{4}{11}\right) = \frac{11 \cdot 4}{28 \cdot 11} = \frac{4}{28} = \frac{1}{7}\)
   5. \(\frac{1}{7} \cdot \frac{5}{7} = \frac{5}{49}\)
2. Знаменатель:
   1. \(0.1875 = \frac{1875}{10000} = \frac{3}{16}\)
   2. \(-\frac{3}{16}\)
   3. \(\frac{3}{4} : \left(-\frac{3}{16}\right) = \frac{3}{4} \cdot \left(-\frac{16}{3}\right) = -\frac{3 \cdot 16}{4 \cdot 3} = -\frac{16}{4} = -4\)
   4. \(-4 + 3.5 = -0.5\)
3. Итоговое вычисление:
   1. \(\frac{\frac{5}{49}}{-0.5} = \frac{5}{49} : \left(-\frac{1}{2}\right) = \frac{5}{49} \cdot (-2) = -\frac{10}{49}\)

Ответ: -10/49