Question

2/3 of the doughnuts in a box have frosting. 1/2 of the doughnuts with frosting have sprinkles. What fraction of the doughnuts in the box have frosting and sprinkles?

Answer 1

well if would be 1/2 of 2/3 which is 1/2 •2/3 =2/6=1/3

Answer 2

1/3

Explanation:

We have a total amount T of doughnuts in a box.

2/3 of T have frosting.

We also know that 1/2 of the doughnuts with frosting have sprinkles, that is 1/2 of 2/3 of T.

We write that as
`(1)/(2) *((2)/(3)*T) = ((1)/(2)*(2)/(3))*T = (2)/(6)*T = (1)/(3)*T`

Therefore, 1/3 of the total of doughnuts have frosting and sprinkles.