0.33333... = x
3.33333... = 10x
10x 3.3333...
- x -0.3333...
--- ----------
9x = 3.0000...
9x = 3
x = 3/9 = 1/3
0.50272727... = x
50.27272727... = 100x
5027.272727... = 10000x
10000x 5027.2727...
- 100x - 50.2727...
------ ------------
9900x = 4977.0000...
9900x = 4977
x = 4977/9900= 553/1100