1. **State the problem:** We need to find the total distance from the house to the park by adding the distances from the house to the store and from the store to the park. 2. **Write the distances as improper fractions:** - Distance from house to store: $2 \frac{5}{6} = \frac{2 \times 6 + 5}{6} = \frac{17}{6}$ miles - Distance from store to park: $1 \frac{1}{4} = \frac{1 \times 4 + 1}{4} = \frac{5}{4}$ miles 3. **Find a common denominator to add the fractions:** - The denominators are 6 and 4. - The least common denominator (LCD) is 12. 4. **Convert fractions to have denominator 12:** $$\frac{17}{6} = \frac{17 \times 2}{6 \times 2} = \frac{34}{12}$$ $$\frac{5}{4} = \frac{5 \times 3}{4 \times 3} = \frac{15}{12}$$ 5. **Add the fractions:** $$\frac{34}{12} + \frac{15}{12} = \frac{34 + 15}{12} = \frac{49}{12}$$ 6. **Convert the improper fraction back to a mixed number:** - Divide 49 by 12: $49 \div 12 = 4$ remainder $1$ - So, $\frac{49}{12} = 4 \frac{1}{12}$ miles **Final answer:** The total distance from the house to the park is $4 \frac{1}{12}$ miles.