1. Stating the problem: Simplify the expression $$\frac{15}{6} + \frac{1}{12}$$. 2. Find a common denominator for the fractions. The denominators are 6 and 12. The least common denominator (LCD) is 12. 3. Convert $$\frac{15}{6}$$ to have denominator 12: $$\frac{15}{6} = \frac{15 \times 2}{6 \times 2} = \frac{30}{12}$$ 4. Now add the fractions: $$\frac{30}{12} + \frac{1}{12} = \frac{30 + 1}{12} = \frac{31}{12}$$ 5. Simplify the fraction if possible. $$\frac{31}{12}$$ is an improper fraction and cannot be simplified further. 6. Convert to mixed number: $$31 \div 12 = 2 \text{ remainder } 7$$ So, $$\frac{31}{12} = 2 \frac{7}{12}$$ Final answer: $$2 \frac{7}{12}$$