Im going to give you the proof as well... but it is 8/9
x=0.8888888888....
10x=8.8888888....
9x=10x-x=8
if 9x = 8 then x=8/9
btw 0.12121212... is 12/99
and 0.487487487487... is 487/999
8/9
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The fraction for .4 repeating is 2/5.
If all 3 digits are repeating then as a fraction it is 215/999
It is: 82/99 = 0.828282.....repeating
It is: 2/15 as a fraction
The answer is 61/495