2) (\(2\frac{8}{51}-\frac{8}{51} \cdot 15,3\):\(\frac{16}{51}\)-38,4):(-0,03);

Разберем пример по действиям:
1) $$\frac{8}{51} \cdot 15,3 = \frac{8 \cdot 15,3}{51} = \frac{122,4}{51} = 2,4$$
2) $$2\frac{8}{51} - 2,4 = 2,15686 - 2,4 = -0,24314 \approx -0,243$$
3) $$-0,243 : \frac{16}{51} = -0,243 \cdot \frac{51}{16} = -\frac{0,243 \cdot 51}{16} = -\frac{12,393}{16} = -0,7745625 \approx -0,775$$
4) $$-0,775 - 38,4 = -39,175$$
5) $$-39,175 : (-0,03) = \frac{-39,175}{-0,03} = \frac{39,175}{0,03} = 1305,8333 \approx 1305,83$$

Ответ: $$1305,83$$