-16/5 + 15/28 * 1 17/25 + 4 : 1 11/17

1. Convert mixed number to improper fraction: $$1 \frac{17}{25} = \frac{42}{25}$$ and $$1 \frac{11}{17} = \frac{28}{17}$$.
2. Perform multiplication: $$\frac{15}{28} \times \frac{42}{25} = \frac{3}{2} \times \frac{3}{5} = \frac{9}{10}$$.
3. Perform division: $$4 \div \frac{28}{17} = 4 \times \frac{17}{28} = \frac{17}{7}$$.
4. Substitute and add: $$-\frac{16}{5} + \frac{9}{10} + \frac{17}{7} = -3.2 + 0.9 + 2.428... = 0.128...$$.
5. Final answer: $$-\frac{16}{5} + \frac{9}{10} + \frac{17}{7} = -\frac{224}{70} + \frac{63}{70} + \frac{170}{70} = \frac{9}{70}$$.