To find the height of the basketball player's son, who is \(\frac{1}{4}\) the height of his father, we first need to convert the father's height of \(6 \frac{2}{3}\) feet into an improper fraction.
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Convert \(6 \frac{2}{3}\) to an improper fraction: \[ 6 \frac{2}{3} = 6 + \frac{2}{3} = \frac{6 \times 3}{3} + \frac{2}{3} = \frac{18}{3} + \frac{2}{3} = \frac{20}{3} \text{ feet} \]
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Calculate \(\frac{1}{4}\) of the father's height: \[ \text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \text{ feet} \]
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Convert \(\frac{5}{3}\) into 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 Start Fraction 2 over 3 End Fraction ft.