1. $$3\frac{1}{8} = \frac{25}{8}$$
2. $$\frac{8}{5} * \frac{25}{8} = \frac{25}{5} = 5$$
3. $$-8\frac{1}{9} = -\frac{73}{9}$$
4. $$-\frac{73}{9} + 5 = -\frac{73}{9} + \frac{45}{9} = -\frac{28}{9}$$
5. $$-\frac{28}{9} : \frac{7}{6} = -\frac{28}{9} * \frac{6}{7} = -\frac{4}{3} * \frac{2}{1} = -\frac{8}{3}$$
6. $$\frac{4}{3} + (-\frac{8}{3}) = \frac{4}{3} - \frac{8}{3} = -\frac{4}{3} = -1\frac{1}{3}$$
Ответ: $$-1\frac{1}{3}$$