A relay race is 1

Question

3
4
miles long. Each relay team has 4 runners. If each runner runs the same distance in the race, how far will each runner run?

Choose the correct answer.
StartFraction 7 Over 4 EndFraction times StartFraction 4 Over 1 EndFraction = 7, so each runner runs 7 miles.
StartFraction 7 Over 4 EndFraction times StartFraction 4 Over 1 EndFraction = 28, so each runner runs 28 miles.
StartFraction 7 Over 4 EndFraction times StartFraction 4 Over 1 EndFraction = StartFraction 7 over 16 EndFraction, so each runner runs StartFraction 7 Over 16 EndFraction miles.
StartFraction 7 Over 4 EndFraction times StartFraction 4 Over 1 EndFraction = StartFraction 7 over 8 EndFraction, so each runner runs StartFraction 7 Over 8 EndFractionmiles.

Answer 1

To find out how far each runner runs in a relay race that is \( \frac{7}{4} \) miles long with 4 runners on each team, we need to divide the total distance by the number of runners:

\[ \text{Distance per runner} = \frac{\text{Total distance}}{\text{Number of runners}} = \frac{\frac{7}{4}}{4} \]

To perform the division, we can rewrite the 4 as a fraction:

\[ \frac{\frac{7}{4}}{4} = \frac{7}{4} \div \frac{4}{1} = \frac{7}{4} \times \frac{1}{4} = \frac{7 \times 1}{4 \times 4} = \frac{7}{16} \]

Thus, each runner runs \( \frac{7}{16} \) miles.

The correct answer is:

StartFraction 7 Over 16 EndFraction, so each runner runs StartFraction 7 Over 16 EndFraction miles.