Jarome is making pizza. He uses 2 1/2 cups of cheese for every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the bag. How many pizza pies can he make with the leftover cheese?

since the pizza/cheese ratio is the same, he want x such that

x : (6 1/4) = (2 3/4) : (2 1/2)
x : 25/4 = 11/4 : 10/4
4x/25 = 11/10
x = 11*25/40 = 55/8 = 6 7/8