(-2,75\(\cdot\)2\(\frac{2}{11}\)-1\(\frac{7}{8}\)\(\cdot\)(-3,2)):\(2\frac{9}{40}-0,275\) / (2,47:0,26-\(-5\frac{3}{11}:5\frac{3}{11}\)^2)

Решение:

Решим числитель дроби:

1. \( -2,75 = -2\frac{3}{4} = -\frac{11}{4} \)
2. \( 2\frac{2}{11} = \frac{24}{11} \)
3. \( -2,75 \cdot 2\frac{2}{11} = -\frac{11}{4} \cdot \frac{24}{11} = -\frac{24}{4} = -6 \)
4. \( 1\frac{7}{8} = \frac{15}{8} \)
5. \( -3,2 = -3\frac{1}{5} = -\frac{16}{5} \)
6. \( 1\frac{7}{8} \cdot (-3,2) = \frac{15}{8} \cdot (-\frac{16}{5}) = -\frac{15 \cdot 16}{8 \cdot 5} = -\frac{3 \cdot 2}{1} = -6 \)
7. \( (-6) - (-6) = 0 \)
8. \( 2\frac{9}{40} = \frac{89}{40} \)
9. \( 0,275 = \frac{275}{1000} = \frac{11}{40} \)
10. \( 2\frac{9}{40} - 0,275 = \frac{89}{40} - \frac{11}{40} = \frac{78}{40} = \frac{39}{20} \)
11. \( 0 : \frac{39}{20} = 0 \)

Решим знаменатель дроби:

1. \( 2,47 : 0,26 = 247 : 26 = 9,5 \)
2. \( -5\frac{3}{11} = -\frac{58}{11} \)
3. \( 5\frac{3}{11} = \frac{58}{11} \)
4. \( -5\frac{3}{11} : 5\frac{3}{11} = -1 \)
5. \( (-1)^2 = 1 \)
6. \( 9,5 - 1 = 8,5 \)

Общий результат:

1. \( 0 : 8,5 = 0 \)

Ответ: 0