To find the height of the infant son, we need to calculate \( \frac{1}{4} \) of the basketball player's height.
The player's height is \( 6 \frac{2}{3} \) feet. First, let's convert this mixed number to an improper fraction:
\[ 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \text{ feet} \]
Now, we need to find \( \frac{1}{4} \) of \( \frac{20}{3} \):
\[ \text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \text{ feet} \]
Next, we can convert \( \frac{5}{3} \) feet back into a mixed number:
\[ \frac{5}{3} = 1 \frac{2}{3} \text{ feet} \]
So, the son is \( 1 \frac{2}{3} \) feet tall.
The correct response is: 1 Start Fraction 2 over 3 End Fraction ft.