$$\frac{8}{5} + \frac{21}{25} \cdot 1\frac{17}{28} + 2 : 3\frac{9}{17} = \frac{8}{5} + \frac{21}{25} \cdot \frac{45}{28} + 2 : \frac{60}{17} = $$
$$\frac{8}{5} + \frac{21}{25} \cdot \frac{45}{28} + 2 \cdot \frac{17}{60} = \frac{8}{5} + \frac{3 \cdot 3}{4 \cdot 5} + \frac{17}{30} = \frac{8}{5} + \frac{9}{20} + \frac{17}{30} = $$
Преобразуем к общему знаменателю 60:
$$\frac{8 \cdot 12}{5 \cdot 12} + \frac{9 \cdot 3}{20 \cdot 3} + \frac{17 \cdot 2}{30 \cdot 2} = \frac{96}{60} + \frac{27}{60} + \frac{34}{60} = $$
$$\frac{96 + 27 + 34}{60} = \frac{157}{60} = 2\frac{37}{60}$$
**Ответ: $$2\frac{37}{60}$$**