To convert feet to yards, we use the fact that 1 yard is equal to 3 feet.
Since Adam can paint 38 feet of fence per hour, we can convert that to yards by dividing by 3:
\[ \text{Yards per hour} = \frac{38 \text{ feet}}{3 \text{ feet/yard}} = \frac{38}{3} \text{ yards} \]
Calculating \( \frac{38}{3} \):
\[ 38 \div 3 = 12 \text{ R } 2 \text{ (which means } 12 \text{ complete yards and a remainder of } 2 \text{ feet)} \]
To express the remainder in fraction form, since there are 3 feet in a yard:
\[ \frac{2}{3} \text{ yards} \]
Thus, the total in mixed number form is:
\[ 12 \frac{2}{3} \text{ yards per hour} \]
The correct answer is: 12 2/3 yards per hour.
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