Question

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

1 2/3 ft.
1 Start Fraction 2 over 3 End Fraction ft.

2 2/3 ft.
2 Start Fraction 2 over 3 End Fraction ft.

1 1/2 ft.
1 Start Fraction 1 over 2 End Fraction ft.

2 2/12 ft.

Answer 1

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

First, convert \( 6 \frac{2}{3} \) into an improper fraction:

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

Next, calculate \( \frac{1}{4} \) of \( \frac{20}{3} \):

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

Convert \( \frac{5}{3} \) into a mixed number:

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

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

So the correct response is:

**1 2/3 ft.**