Final answer:
Hannah can make 1 batch of cookies.
Step-by-step explanation:
To determine the number of batches of cookies Hannah can make, we need to find the number of 1/2 cups of brown sugar required for one batch of cookies.
Let's assume one batch of cookies requires x number of 1/2 cups of brown sugar.
Since Hannah has 7 1/2 cups of brown sugar, we can set up the equation: 7 1/2 = x
To solve for x, we can convert the mixed number to an improper fraction: 7 1/2 = (2 * 7) + 1/2 = 15/2.
Therefore, one batch of cookies requires 15/2 (or 7.5) 1/2 cups of brown sugar. Since Hannah has 7 1/2 cups, she can make 7 1/2 ÷ 7.5 = 1 batch of cookies.