Answer: 16/33
Work Shown
x = 0.484848...
100x = 48.484848...
100x-x = (48.484848...) - (0.484848...)
99x = 48
x = 48/99
x = (16*3)/(33*3)
x = 16/33
As confirmation, use a calculator to see that 16/33 = 0.484848... where the "48"s repeat forever.
Notice in the jump from step 3 to step 4, the decimal portions cancel out completely.