Question

A tennis team bought 8 yards of red fabric to make head bands. If each head band takes 2
3
of a yard of fabric, how many head bands can the team make?

You would use
to solve this problem.
The tennis team can make
head bands.

Answers

GPT-4o mini
To solve the problem of how many head bands the tennis team can make with 8 yards of fabric, we will use division.

First, we need to determine how many head bands can be made from 8 yards of fabric when each head band requires \( \frac{2}{3} \) of a yard. To find out, we divide the total amount of fabric by the amount of fabric required for one head band:

\[
\text{Number of head bands} = \frac{8 \text{ yards}}{\frac{2}{3} \text{ yard/head band}}
\]

When dividing by a fraction, we multiply by its reciprocal:

\[
\text{Number of head bands} = 8 \times \frac{3}{2}
\]

Now, we can perform the multiplication:

\[
\text{Number of head bands} = 8 \times \frac{3}{2} = \frac{24}{2} = 12
\]

So, the tennis team can make 12 head bands.

In summary:

You would use division to solve this problem.
The tennis team can make 12 head bands.

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