i still dont get :

Jacob is baking chocolate chip cookies. The recipe
uses 3/4 cup of sugar. Jacob wants to make one-half
of a batch. How many cups of sugar does he need?
1/4?

In the fridge, Hannah had 2/3
of a quart of milk.
She used half of this milk when she had breakfast
cereal. How much milk did she use?
1/6?

1/2 * 3/4 = 3/8

half of 2 is 1
half of 2/3 is 1/3
1/2 * 2/3 * 2/6 = 1/3

To solve the first problem, you need to find out how much sugar Jacob needs for half of the batch of chocolate chip cookies. The original recipe uses 3/4 cup of sugar for a full batch. To find half of 3/4 cup, you can divide it by 2:

(3/4) / 2 = 3/4 * 1/2 = 3/8

So, Jacob needs 3/8 cup of sugar for one-half of a batch of cookies.

To solve the second problem, you need to find out how much milk Hannah used for breakfast cereal. Hannah originally had 2/3 of a quart of milk in the fridge. Since she used half of this milk, you can multiply 2/3 by 1/2:

2/3 * 1/2 = 2/6 = 1/3

So, Hannah used 1/3 of a quart of milk for her breakfast cereal.

Therefore, the correct answers are 3/8 cup of sugar for Jacob and 1/3 of a quart of milk for Hannah.