Final answer:
Hannah can make 7 1/2 batches of cookies with 7 1/2 cups of brown sugar.
Step-by-step explanation:
To determine how many batches of cookies Hannah can make with 7 1/2 cups of brown sugar, we need to know how many cups of brown sugar are needed for one batch. Let's assume that one batch requires 1 cup of brown sugar. Therefore, Hannah can make 7 1/2 batches of cookies with the given amount of brown sugar.