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.
-
Multiply the whole number (6) by the denominator (3): \( 6 \times 3 = 18 \)
-
Add the numerator (2) to this result: \( 18 + 2 = 20 \)
-
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.