\begin{tabular}{l|l} A sporting goods manufacturer requires \( \frac{2}{3} \) yd & \( \begin{array}{l}16 \text { yd of material will make } \\ \text { of fabric to make a pair of soccer shorts. How }\end{array} \) \\ \begin{tabular}{l|l} soccer shorts. \\ many shorts can be made from 16 yd \\ of fabric? \end{tabular} & (Simplify your answer.) \end{tabular}

To determine how many pairs of soccer shorts can be made from 16 yards of fabric when each pair requires \( \frac{2}{3} \) yard, we start by calculating how many times \( \frac{2}{3} \) fits into 16 yards. First, we convert the total fabric into a fraction: \[ 16 \text{ yd} = \frac{16}{1} \] Next, we divide 16 by \( \frac{2}{3} \), which is equivalent to multiplying by the reciprocal of \( \frac{2}{3} \): \[ \frac{16}{1} \div \frac{2}{3} = \frac{16}{1} \times \frac{3}{2} = \frac{16 \times 3}{1 \times 2} = \frac{48}{2} = 24 \] Thus, a total of **24 pairs** of soccer shorts can be made from 16 yards of fabric.