1. Let's solve a fraction problem: Simplify the expression $$\frac{3}{4} + \frac{5}{6}$$. 2. To add fractions, we need a common denominator. The denominators here are 4 and 6. 3. Find the least common denominator (LCD) of 4 and 6. The multiples of 4 are 4, 8, 12, 16... and the multiples of 6 are 6, 12, 18... The LCD is 12. 4. Convert each fraction to an equivalent fraction with denominator 12: $$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$$ $$\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$$ 5. Now add the fractions: $$\frac{9}{12} + \frac{10}{12} = \frac{9 + 10}{12} = \frac{19}{12}$$ 6. The fraction $$\frac{19}{12}$$ is an improper fraction. We can convert it to a mixed number: $$19 \div 12 = 1 \text{ remainder } 7$$ So, $$\frac{19}{12} = 1 \frac{7}{12}$$ 7. Final answer: $$\frac{3}{4} + \frac{5}{6} = 1 \frac{7}{12}$$.