If 1/6 cup of icing covers 2/3 of a cake, how much icing is needed to cover the entire cake?

A. 1/9
B. 1/6
C. 1/4
D. 1/18

1/6 * 3/2 = 1/4

1/4

To find out how much icing is needed to cover the entire cake, we can calculate the amount of icing required per unit of cake and then multiply it by the total number of units.

First, let's determine the amount of icing needed per unit of cake. We know that 1/6 cup of icing covers 2/3 of a cake. To find the amount of icing needed for 1 unit of cake, we divide 1/6 cup by 2/3:

(1/6) ÷ (2/3) = (1/6) × (3/2) = 1/12

So, 1/12 cup of icing is needed for 1 unit of cake.

Since we want to cover the entire cake, which consists of 1 unit, we need 1/12 cup of icing.

Therefore, the answer is not among the options provided.

the correct answer is f