You walk \( \frac{3}{4} \) mile and you run \( \frac{7}{10} \) mile. Do you walk the same distance that you run?

To determine if you walk the same distance that you run, we need to compare \( \frac{3}{4} \) mile and \( \frac{7}{10} \) mile. First, we can convert both fractions to have a common denominator. The least common multiple of 4 and 10 is 20. Converting \( \frac{3}{4} \) to a fraction with a denominator of 20: \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \] Now converting \( \frac{7}{10} \) to a fraction with a denominator of 20: \[ \frac{7}{10} = \frac{7 \times 2}{10 \times 2} = \frac{14}{20} \] Now we can compare: \[ \frac{15}{20} \text{ (walking)} \quad \text{and} \quad \frac{14}{20} \text{ (running)} \] Since \( \frac{15}{20} > \frac{14}{20} \), you walk farther than you run. Therefore, no, you do not walk the same distance that you run; you walk more.