How to Understand fractions with patterns

This is an educational site where we can learn about math lessons with example videos, interactive practice problems and can do self-test. The associate teacher in the video teaches us about fraction problems. She has written four numbers on the board, which is 1 1/4, 1 1/2, 1 3/4, and 2. She explains how to find the next three numbers following the same pattern. The teacher in the video tells that the key in solving the problem is to think of 1 1/2 as 1 2/4. Each number in the given problem is increasing by adding 1/4 to it. Hence, the next three numbers can be obtained by adding 1/4 to every following number. By adding 1/4 to 2(the last number in the given problem), it becomes 2 1/4, which again by adding to 1/4 becomes 2 1/2. Thus, the last number is 2 3/4. So the next three numbers are '2 1/4, 2 1/2 and 2 3/4'.