Let's not think about the problem, let's think about the fractions and dividing. We're are trying to find how many sets of 3/44 are in 3 3/4. We need to divide. Using keep change and flip, we can divide successfully. Let's make sure the first fraction is improper. 15/4÷3/44=? Keep, Change, and Flip. 15/4×44/3 660/12 Let's simplify. 55. So Nicole can play 55 rounds.