To find out how tall the basketball player's son is, we need to calculate \(\frac{1}{4}\) of the basketball player's height of \(6 \frac{2}{3}\) feet.
First, convert \(6 \frac{2}{3}\) to an improper fraction:
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Convert the whole number (6) to a fraction: \[ 6 = \frac{6 \times 3}{3} = \frac{18}{3} \]
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Add the fractional part: \[ 6 \frac{2}{3} = \frac{18}{3} + \frac{2}{3} = \frac{20}{3} \]
Now, we need to find \(\frac{1}{4}\) of \(\frac{20}{3}\): \[ \text{Son's height} = \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} \]
Now simplify \(\frac{20}{12}\): \[ \frac{20}{12} = \frac{5}{3} \quad \text{(by dividing both numerator and denominator by 4)} \]
So, the height of the basketball player's son is \(\frac{5}{3}\) feet.
To express this as a mixed number, we can convert \(\frac{5}{3}\): \[ \frac{5}{3} = 1 \frac{2}{3} \text{ feet} \]
Therefore, the height of the son is \(\frac{5}{3}\) feet or \(1 \frac{2}{3}\) feet.
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