In the top problem does feet completely cancel out square feet

Given: A room measures 675 sq feet.
Required: To determine how many sq yards of flooring is required for the room.
Explanation: Since 3 feet is equivalent to 1 yard. Hence 9 square feet will be equivalent to 1 square yard.
Thus, in 675 square feet, we have-
[tex]675(\frac{1}{9})=75\text{ yd}^2[/tex]