Iris is asked to sweep the gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 2 over 3 of the floor in 1 over 3 of an hour. At this rate, how long will it take her to complete the entire floor?

If Iris completes 2/3 of the floor in 1/3 of an hour, then she completes 1/3 of the floor in 1/3 of an hour / 2 = 1/3 of a hour.

So it will take her 1/3 of an hour * 3 = <<1/3*3=1>>1 hour to complete the entire floor. Answer: \boxed{1}.