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, you can divide the total distance by the number of runners.

1. Total distance of the race: \( \frac{7}{4} \) miles.
2. Number of runners: 4.

You need to divide \( \frac{7}{4} \) by 4, which can be written as:

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

When dividing fractions, you can multiply by the reciprocal:

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

So, 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.