1. **Problem:** Lori ran 5 1/2 miles Monday, 6 1/4 miles Tuesday, 4 1/2 miles Wednesday, and 2 3/4 miles Thursday. Find the average number of miles she ran. 2. **Formula:** Average = \frac{\text{Sum of all distances}}{\text{Number of days}} 3. **Convert mixed numbers to improper fractions:** - 5 1/2 = \frac{11}{2} - 6 1/4 = \frac{25}{4} - 4 1/2 = \frac{9}{2} - 2 3/4 = \frac{11}{4} 4. **Find common denominator and sum:** - Convert all to denominator 4: \frac{11}{2} = \frac{22}{4}, \frac{9}{2} = \frac{18}{4} - Sum = \frac{22}{4} + \frac{25}{4} + \frac{18}{4} + \frac{11}{4} = \frac{22+25+18+11}{4} = \frac{76}{4} 5. **Calculate average:** - Number of days = 4 - Average = \frac{76/4}{4} = \frac{76}{4} \times \frac{1}{4} = \frac{76}{16} = \frac{19}{4} = 4 \frac{3}{4} 6. **Answer:** The average number of miles Lori ran is 4 3/4 miles, which corresponds to option d. --- 7. **Problem:** Jonathan was 60 3/4 inches tall last year and 65 1/4 inches tall this year. Find how many inches he grew. 8. **Convert mixed numbers to improper fractions:** - 60 3/4 = \frac{243}{4} - 65 1/4 = \frac{261}{4} 9. **Calculate growth:** - Growth = \frac{261}{4} - \frac{243}{4} = \frac{18}{4} = \frac{9}{2} = 4 \frac{1}{2} 10. **Answer:** Jonathan grew 4 1/2 inches, which corresponds to option b.