DWarm up Dive in Jessie ran \( \frac{3}{5} \) of a mile. Eric ran \( \frac{4}{10} \) of a mile. Who ran farther? Use any strategy to compare fractions. They ran the same distance.

To determine who ran farther between Jessie and Eric, we need to compare the fractions \( \frac{3}{5} \) and \( \frac{4}{10} \). ### Step 1: Convert the fractions to a common denominator The denominators of the two fractions are 5 and 10. The least common denominator (LCD) is 10. ### Step 2: Convert \( \frac{3}{5} \) to a fraction with a denominator of 10 To convert \( \frac{3}{5} \) to a fraction with a denominator of 10, we can multiply both the numerator and the denominator by 2: \[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \] ### Step 3: Compare the fractions Now we have: - Jessie: \( \frac{6}{10} \) - Eric: \( \frac{4}{10} \) ### Step 4: Determine who ran farther Since \( \frac{6}{10} > \frac{4}{10} \), we can conclude that Jessie ran farther than Eric. ### Final Conclusion Jessie ran farther than Eric.