37:2-17,8+1.

Решение:

1. \[ 37 \div 2 \frac{3}{17} - 17.8 + 1 \frac{2}{7} \]
2. \[ 37 \div \frac{37}{17} - 17.8 + \frac{9}{7} \]
3. \[ 37 \times \frac{17}{37} - 17.8 + \frac{9}{7} \]
4. \[ 17 - 17.8 + \frac{9}{7} \]
5. \[ -0.8 + \frac{9}{7} \]
6. \[ -\frac{8}{10} + \frac{9}{7} \]
7. \[ -\frac{4}{5} + \frac{9}{7} \]
8. \[ \frac{-4 \times 7 + 9 \times 5}{35} \]
9. \[ \frac{-28 + 45}{35} \]
10. \[ \frac{17}{35} \]

Ответ: \[ \frac{17}{35} \]