1. State the problem: Simplify the expression $$\frac{\frac{1}{5}}{\frac{-8}{5}} + \frac{5}{6}$$. 2. Simplify the complex fraction by multiplying the numerator by the reciprocal of the denominator: $$\frac{1}{5} \div \frac{-8}{5} = \frac{1}{5} \times \frac{5}{-8}$$ 3. Cancel common factors: $$\frac{\cancel{1}}{\cancel{5}} \times \frac{\cancel{5}}{-8} = \frac{1}{-8} = -\frac{1}{8}$$ 4. Now add the fractions: $$-\frac{1}{8} + \frac{5}{6}$$ 5. Find a common denominator, which is 24: $$-\frac{1}{8} = -\frac{3}{24}, \quad \frac{5}{6} = \frac{20}{24}$$ 6. Add the numerators: $$-3 + 20 = 17$$ 7. Final answer: $$\frac{17}{24}$$