Вычислить: [6 1/7 : (((1 5/6 − 7 1/5 : 2,7) · 5,4 − 1/2) + 1/8) : (5,2 + 1 11/20)] : (−5/36)

1. \(7\frac{1}{5}:2,7=\frac{36}{5}:\frac{27}{10}=\frac{8}{3}\).
2. \(1\frac{5}{6}-\frac{8}{3}=\frac{11}{6}-\frac{16}{6}=-\frac{5}{6}\).
3. \(-\frac{5}{6}\cdot5,4-\frac12+\frac18=-\frac92-\frac12+\frac18=-\frac{39}{8}\).
4. \(6\frac17:\left(-\frac{39}{8}\right)=\frac{43}{7}\cdot\left(-\frac{8}{39}\right)=-\frac{344}{273}\).
5. \(5,2+1\frac{11}{20}=\frac{26}{5}+\frac{31}{20}=\frac{27}{4}\).
6. \(\left(-\frac{344}{273}:\frac{27}{4}\right):\left(-\frac{5}{36}\right)=\frac{5504}{4095}\).

Ответ: \(\frac{5504}{4095}\).