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

2 2/12 ft.
2 Start Fraction 2 over 12 End Fraction ft.

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

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

Answer 1

To determine how tall the basketball player's son is, we will calculate \( \frac{1}{4} \) of the player's height, which is \( 6 \frac{2}{3} \) feet.

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

\[ 6 \frac{2}{3} = 6 \times 3 + 2 = 18 + 2 = 20 \text{ (improper fraction)} = \frac{20}{3} \]

Now, we calculate \( \frac{1}{4} \) of this height:

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

Next, convert \( \frac{5}{3} \) to a mixed number:

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

Therefore, the height of the basketball player's son is \( 1 \frac{2}{3} \) feet.

The correct response is:

1 2/3 ft.