Alright, what you need to do is divide the total amount of butter (8.5 sticks) by the amount required for each batch of brownies (.75 sticks). BTW, I put the fraction into decimals to make it easier; I'll covert the numbers back at the end. Next step: 8.5/.75. You can do this on paper, but I suggest using a calculator; it is a lot easier. If you use a calculator, you'll see the answer will be 11.3, with a line above the 3. This is a repeating decimal, but it isn't relevant to the problem. Since the question asked how many batches we could make, round 11.3 to the nearest whole number which is 11. So, you can make 11 batches of brownies with 8 1/2 sticks of butter.
Hope this helps!