To find the height of the basketball player's son, we need to calculate 1/4 of the player's height.
The player's height is given as \( 6 \frac{2}{3} \) feet. We first convert this mixed number into an improper fraction.
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Convert \( 6 \frac{2}{3} \) to an improper fraction:
- Multiply the whole number 6 by the denominator 3: \( 6 \times 3 = 18 \).
- Add the numerator 2: \( 18 + 2 = 20 \).
- So, \( 6 \frac{2}{3} = \frac{20}{3} \) feet.
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Now, we calculate \( \frac{1}{4} \) of \( \frac{20}{3} \): \[ \frac{1}{4} \times \frac{20}{3} = \frac{20}{12} = \frac{5}{3} \text{ feet.} \]
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Convert \( \frac{5}{3} \) feet back to a mixed number:
- Divide 5 by 3, which is 1 with a remainder of 2, so: \[ \frac{5}{3} = 1 \frac{2}{3} \text{ feet.} \]
Thus, the height of the basketball player's son is \( 1 \frac{2}{3} \) feet.
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