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

2 2/3 ft.

2 2/12 ft.

1 1/2 ft.

1 2/3 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.

1. First, convert $6\frac{2}{3}$ feet to an improper fraction: $$6\frac{2}{3}=6+\frac{2}{3}=\frac{18}{3}+\frac{2}{3}=\frac{20}{3}\text{ feet.}$$

2. Now, calculate $\frac{1}{4}$ of $\frac{20}{3}$: $$\frac{1}{4}\times \frac{20}{3}=\frac{20}{12}=\frac{5}{3}\text{ feet.}$$

3. Convert $\frac{5}{3}$ to a mixed number: $$\frac{5}{3}=1\frac{2}{3}\text{ feet.}$$

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

The correct response is: 1 2/3 ft.