4. A basketball player is 6 2/3 feet tall. His infant son is 1/4 as tall. How tall is his son?(1 point) Responses 123 ft 1 and 2 thirds ft 112 ft 1 and 1 half ft 216 ft 2 and 1 sixth ft 223 ft

Answer 1

To find the height of the basketball player's son, we need to calculate \( \frac{1}{4} \) of the father's height, which is \( 6 \frac{2}{3} \) feet.

First, 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 need to calculate \( \frac{1}{4} \) of \( \frac{20}{3} \): \[ \text{Height of the son} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \]

Now convert \( \frac{5}{3} \) back to a mixed number: \[ \frac{5}{3} = 1 \frac{2}{3} \]

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

Therefore, the answer is: 1 and 2 thirds ft.