1. **State the problem:** Solve the equation $$-\frac{1}{4}h = -\frac{5}{6}$$ for $h$. 2. **Formula and rules:** To solve for $h$, we need to isolate $h$ on one side of the equation. Since $h$ is multiplied by $-\frac{1}{4}$, we can divide both sides by $-\frac{1}{4}$ or multiply both sides by its reciprocal $-4$. 3. **Isolate $h$:** $$h = \left(-\frac{5}{6}\right) \times \left(-4\right)$$ 4. **Multiply the fractions:** $$h = \frac{-5}{6} \times \frac{-4}{1} = \frac{20}{6}$$ 5. **Simplify the fraction:** $$h = \frac{20}{6} = \frac{10}{3}$$ 6. **Final answer:** $$h = \frac{10}{3}$$ This means $h$ equals ten-thirds, or approximately 3.333.