Question

Johnson Elementary School has an annual pogo stick relay race. Teams have 5 members who each hop the same distance. The race starts at the baseball field and ends
1
2
of a mile away at the football field. How many miles does each team member hop?
Write your answer as a fraction or a whole number.

Answers

GPT-4o mini
In the pogo stick relay race, the total distance from the baseball field to the football field is \(\frac{1}{2}\) mile. Since each team has 5 members, and each member hops the same distance, we need to divide the total distance by the number of members.

To find how far each member hops, we calculate:

\[
\text{Distance each member hops} = \frac{\text{Total distance}}{\text{Number of members}} = \frac{\frac{1}{2}}{5}
\]

Dividing \(\frac{1}{2}\) by 5 can be done by multiplying \(\frac{1}{2}\) by the reciprocal of 5:

\[
\frac{1}{2} \div 5 = \frac{1}{2} \times \frac{1}{5} = \frac{1 \times 1}{2 \times 5} = \frac{1}{10}
\]

Therefore, each team member hops \(\frac{1}{10}\) of a mile.

The answer is \(\frac{1}{10}\) miles.

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