Mr. Johnson's class having a pizza party. If there are 14 students and 7 pizzas cut into 8 slices, what fraction of one pizza does each student receives?

There are a total of 14 students and 7 pizzas * 8 slices = <<14*7*8=784>>784 slices of pizza.

Therefore, each student receives 1/784 fraction of a pizza. Answer: \boxed{\frac{1}{784}}.