A container of coffee is 1/6 full. That container contains 2/3 of a pound of coffee write a division expression that represents the capacity of the container

Respuesta :

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.