1. Problem: Calculate $\frac{4}{5} + \frac{5}{6}$ and write the answer as a mixed number if appropriate. 2. Formula: To add fractions, find a common denominator, then add the numerators. 3. Work: Find the least common denominator (LCD) of 5 and 6, which is 30. Convert each fraction: $$\frac{4}{5} = \frac{4 \times 6}{5 \times 6} = \frac{24}{30}$$ $$\frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30}$$ Add the fractions: $$\frac{24}{30} + \frac{25}{30} = \frac{24 + 25}{30} = \frac{49}{30}$$ 4. Convert to mixed number: $$\frac{49}{30} = 1 \frac{19}{30}$$ 5. Explanation: We found a common denominator to add the fractions easily, then converted the improper fraction to a mixed number by dividing numerator by denominator. Final answer: $1 \frac{19}{30}$