A basketball player is 6 2/3

Question

feet tall. His infant son is 1/4
as tall. How tall is his son?(1 point)
Responses

2 1/6 ft


1 2/3
ft

1 1/2
ft

2 2/3
ft

Answer 1

To find the height of the basketball player's son, we first need to determine what \( \frac{1}{4} \) of the father's height is.

1. The father's height is \( 6 \frac{2}{3} \) feet. We can convert this mixed number to an improper fraction:

   \[ 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \text{ feet} \]

2. Now we find \( \frac{1}{4} \) of the father's height:

   \[ \text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \text{ feet} \]

3. Converting \( \frac{5}{3} \) to a mixed number:

   \[ \frac{5}{3} = 1 \frac{2}{3} \]

Thus, the height of the son is \( 1 \frac{2}{3} \) feet.

The correct response is:

1 2/3 ft