Question

Dianna made several cakes yesterday. Each cake required 2 2/3 cups of flour. All together, she used 13 1/3 cups of flour. How many cakes did Dianna make?

Answer 1

If one cake took 2 2/3 cups of flour but she used 13 1/3 cups in total, then what you want to do is (13 1/3)/(2 2/3)=(40/3)/(8/3)=(40/3)*(3/8)=5.
Thus she baked 5 cakes

Answer 2

Dianna made 5 cakes.

Explanation:

Each cake required
`2(2)/(3)` cups of flour. Dianna used
`13(1)/(3)` cups of flour. To find the number of cakes Dianna made you have to divide the total amount of flour used by the amount of flour needed for one cake.

Therefore,

`13(1)/(3):2(2)/(3)=(13\cdot 3+1)/(3):(2\cdot 3+2)/(3)=(40)/(3):(8)/(3)=(40)/(3)\cdot (3)/(8)=(40)/(8)=5.`

Dianna made 5 cakes.