Question

Adam can paint 38 feet of fence per hour.

How many yards of fence can he paint per hour?

3 1/6yards per hour
12 2/3yards per hour
456 yards per hour
114 yards per hour

Answer 1

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**.