1. The problem is to add the fractions $-\frac{3}{11}$ and $\frac{5}{6}$. We need to find the sum and determine if the result is positive or negative. 2. To add fractions, first find a common denominator. The denominators are 11 and 6. The least common denominator (LCD) is $66$ because $66 = 11 \times 6$. 3. Convert each fraction to have the denominator 66: $$-\frac{3}{11} = -\frac{3 \times 6}{11 \times 6} = -\frac{18}{66}$$ $$\frac{5}{6} = \frac{5 \times 11}{6 \times 11} = \frac{55}{66}$$ 4. Now add the fractions: $$-\frac{18}{66} + \frac{55}{66} = \frac{-18 + 55}{66} = \frac{37}{66}$$ 5. Since $37$ is positive, the sum is positive. 6. Final answer: $+ \frac{37}{66}$. The sum is positive and equals $\frac{37}{66}$.