Answer:
(2/7) cans/wall
Explanation:
We are asked for the cans of paint per wall, or cans/wall.
Cans = 2/3
Walls = 2 1/3 or (7/3) [Convert 2 to 6/3 by multiply by 3/3: 3*(3/3) = (6/3)]
Cans/Wall = (2/3 cans)/(7/3 walls) The unit becomes cans/wall, the desired unit.
Cans/Wall = (2/3)*(3/7) cans/wall
Cans/Wall = (6/21) cans/wall
Cans/Wall = (6/21) can be written (3*2)/(3*7)
The 3's cancel, leaving (2/7) cans/wall
CHECK:
Will 2 1/3 walls require (2/3) can of paint?
(2 1/3 walls)*((2/7) cans/wall))
(7/3 walls)*((2/7) cans/wall)
(7/3)*(2/7) cans
(7*2)/(7*3) cans
(2/3) cans YES