A basketball player is 6 2/3 feet tall. His infant son is 1/4 as tall. How tall is his son?(1 point)

Question

Responses

1 2/3 ft.

2 2/12 ft.

2 2/3 ft.

1 1/2 ft.

Answer 1

To find the height of the infant son, we need to calculate \( \frac{1}{4} \) of the father's height. The father's height is \( 6 \frac{2}{3} \) feet, which we can convert to an improper fraction:

1. Convert \( 6 \frac{2}{3} \) to an improper fraction: \[ 6 \frac{2}{3} = \frac{6 \times 3 + 2}{3} = \frac{18 + 2}{3} = \frac{20}{3} \text{ ft.} \]

2. Now calculate \( \frac{1}{4} \) of \( \frac{20}{3} \): \[ \text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \text{ ft.} \]

3. Converting \( \frac{5}{3} \) to a mixed number: \[ \frac{5}{3} = 1 \frac{2}{3} \text{ ft.} \]

So, the height of his son is \( 1 \frac{2}{3} \) ft.

The correct response is:

1 2/3 ft.