To find the height of the basketball player's son, we need to calculate \( \frac{1}{4} \) of \( 6 \frac{2}{3} \) feet.
First, let's convert \( 6 \frac{2}{3} \) to an improper fraction:
\[ 6 \frac{2}{3} = 6 + \frac{2}{3} = \frac{18}{3} + \frac{2}{3} = \frac{20}{3} \]
Now, we can find \( \frac{1}{4} \) of \( \frac{20}{3} \):
\[ \text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \]
Now, \( \frac{5}{3} \) can be converted to a mixed number:
\[ \frac{5}{3} = 1 \frac{2}{3} \]
Thus, the height of the basketball player’s son is \( 1 \frac{2}{3} \) feet, so the answer is:
d 1 and 2/3 feet.