Question

Olivia has 3 2/3 gallons of milk in her refrigerator. She will pour the milk into cups that hold 1/6 gallon. How many cups will Olivia fill?

A. 18 cups
B. 20 cups
C. 22 cups
D. 36 cups

Answer 1

C. 22 cups

Explanation:

To solve this question, we must first turn the mixed fraction into an improper fraction so it is easier to work with. We can do this by multiplying the whole number (3) by the denominator (3) and then adding it to the numerator (2).

`3(2)/(3)=(3*3+2)/(3)=(11)/(3)`

From here, we can now divide this fraction by the other one by multiplying it by its inverse:

`(11)/(3)/(1)/(6)=(11)/(3)*(6)/(1)`

This gives us a final answer of:

`(66)/(3)=22`

Olivia will fill 22 cups, so Option C.

Hope this helped!