Maria, Leah, and Jonas ran these distances on Saturday. - Maria ran \( \frac{5}{6} \) mile. - Jonas \( \operatorname{ran} \frac{2}{3} \) mile. Who ran the shortest distance? mile. Show your work.

To determine who ran the shortest distance, we need to compare the distances run by Maria and Jonas. 1. **Identify the distances:** - Maria ran \( \frac{5}{6} \) mile. - Jonas ran \( \frac{2}{3} \) mile. 2. **Convert the fractions to a common denominator:** - The denominators are 6 and 3. The least common denominator (LCD) is 6. - Convert \( \frac{2}{3} \) to a fraction with a denominator of 6: \[ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} \] 3. **Compare the distances:** - Maria's distance: \( \frac{5}{6} \) - Jonas's distance: \( \frac{4}{6} \) 4. **Determine the shorter distance:** - Since \( \frac{4}{6} < \frac{5}{6} \), Jonas ran the shorter distance. Thus, the answer is that Jonas ran the shortest distance of \( \frac{2}{3} \) mile.