107. \(|-2,5| \cdot (\frac{4}{5} - 1,2) - (-\frac{3}{4}) \cdot \frac{8}{9}\)

Решение:

1. \( |-2,5| = 2,5 = \frac{25}{10} = \frac{5}{2} \)
2. \( \frac{4}{5} - 1,2 = \frac{4}{5} - \frac{12}{10} = \frac{4}{5} - \frac{6}{5} = -\frac{2}{5} \)
3. \( \frac{5}{2} \cdot (-\frac{2}{5}) = -1 \)
4. \( -(-\frac{3}{4}) \cdot \frac{8}{9} = \frac{3}{4} \cdot \frac{8}{9} = \frac{3 \cdot 8}{4 \cdot 9} = \frac{24}{36} = \frac{2}{3} \)
5. \( -1 + \frac{2}{3} = -\frac{3}{3} + \frac{2}{3} = -\frac{1}{3} \)

Ответ: -\(\frac{1}{3}\).