Let's solve the problem step by step.
We know that the total distance run by the 3 members of a relay team is [tex]\(\frac{3}{8}\)[/tex] of a mile.
The problem tells us that each runner ran the same distance, and we need to find out how far each person ran.
1. Total Distance and Number of Runners:
- Total distance run by the team: [tex]\(\frac{3}{8}\)[/tex] of a mile.
- Number of team members: 3.
2. Distance Per Runner:
- To find the distance each runner ran, we divide the total distance by the number of runners.
- This can be written as [tex]\(\frac{3}{8} \div 3\)[/tex].
3. Dividing by 3:
- When dividing fractions, we multiply by the reciprocal of the divisor.
- In this case, [tex]\(\frac{3}{8} \div 3\)[/tex] is equivalent to [tex]\(\frac{3}{8} \times \frac{1}{3}\)[/tex].
4. Multiplication:
- Now, multiply the numerators and the denominators:
[tex]\[
\frac{3 \times 1}{8 \times 3} = \frac{3}{24}
\][/tex]
5. Simplifying the Fraction:
- Simplify [tex]\(\frac{3}{24}\)[/tex] by dividing the numerator and the denominator by their greatest common divisor (3):
[tex]\[
\frac{3 \div 3}{24 \div 3} = \frac{1}{8}
\][/tex]
So, each runner ran [tex]\(\frac{1}{8}\)[/tex] of a mile.
Therefore, the correct answer is:
A. [tex]\(\frac{1}{8}\)[/tex] of a mile.
