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

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

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

2212 ft.
2 Start Fraction 2 over 12 End Fraction ft.

123 ft.

1 answer

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

First, let's convert the mixed number \( 6 \frac{2}{3} \) into an improper fraction.

  1. Multiply the whole number (6) by the denominator (3): \( 6 \times 3 = 18 \)

  2. Add the numerator (2) to this result: \( 18 + 2 = 20 \)

  3. Therefore, \( 6 \frac{2}{3} = \frac{20}{3} \) feet.

Now, to find the height of the son: \[ \text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \text{ feet} \]

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

  • \( 5 \div 3 = 1 \) with a remainder of \( 2 \), so \( \frac{5}{3} = 1 \frac{2}{3} \).

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

From the options provided, the correct response is: 1 Start Fraction 2 over 3 End Fraction ft.