Let us assume total capacity of the container = x pounds.
Container contains 1/6th coffee of total x pounds, that is x/6 pounds.
We also given that 1/6th part is equal to 2/3 of a pound.
So, we could setup an equation now.
x/6 pounds equals 2/3 of a pound.
[tex]\frac{x}{6} = \frac{2}{3}[/tex]
Dividing both sides by 1/6, we get
[tex]\frac{x}{6}[/tex] ÷ [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{3}[/tex] ÷[tex]\frac{1}{6}[/tex].
Therefore, x = [tex]\frac{2}{3}[/tex] ÷[tex]\frac{1}{6}[/tex]
Division expression that represents the capacity of the container = 2/3 ÷ 1/6.