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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

2 2/3 ft.

2 2/12 ft.

1 1/2 ft.

1 2/3 ft.

1 answer

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.