1. **State the problem:** Evaluate the sum $$\frac{3}{4} + \frac{5}{6}$$. 2. **Formula and rules:** To add fractions, they must have a common denominator. Find the least common denominator (LCD) of 4 and 6. 3. **Find the LCD:** The multiples of 4 are 4, 8, 12, 16, ... and the multiples of 6 are 6, 12, 18, ... The smallest common multiple is 12. 4. **Convert fractions:** $$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$$ $$\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$$ 5. **Add the fractions:** $$\frac{9}{12} + \frac{10}{12} = \frac{9 + 10}{12} = \frac{19}{12}$$ 6. **Simplify if needed:** $$\frac{19}{12}$$ is an improper fraction and can be written as a mixed number: $$1 \frac{7}{12}$$. **Final answer:** $$\frac{3}{4} + \frac{5}{6} = \frac{19}{12} = 1 \frac{7}{12}$$.