1. **State the problem:** Simplify the expression $$\frac{-114}{-12}$$. 2. **Recall the rule:** Dividing two negative numbers results in a positive number. 3. **Apply the rule:** $$\frac{-114}{-12} = \frac{114}{12}$$. 4. **Simplify the fraction:** Find the greatest common divisor (GCD) of 114 and 12. - Factors of 114: 1, 2, 3, 6, 19, 38, 57, 114 - Factors of 12: 1, 2, 3, 4, 6, 12 The GCD is 6. 5. **Divide numerator and denominator by 6:** $$\frac{\cancel{114}^{19}}{\cancel{12}^{2}}$$ 6. **Final simplified result:** $$\frac{19}{2}$$. So, $$\frac{-114}{-12} = \frac{19}{2}$$.