Hamburger Heaven is having a lunch special where customers buy one 3/4 pound cheeseburger and get one free. If they set aside 61 1/3 pounds of meat how many 3/4 pound cheeseburgers can they make?

To find the number of cheeseburgers they can make, we need to divide the total amount of meat by the weight of one cheeseburger.

Let's convert 61 1/3 pounds of meat to an improper fraction: 61 1/3 = (3 * 61 + 1)/3 = 184/3.

Now, let's divide 184/3 by 3/4 to find the number of cheeseburgers they can make: (184/3) / (3/4) = (184/3) * (4/3) = (184*4)/(3*3) = 736/9.

Therefore, Hamburger Heaven can make 736/9 cheeseburgers.