Let f = 0.91666...
then 10f = 9.1666...
Subtracting the first from the second,
9f = 8.25
So f = 8.25/9 = 825/900 which can be simplified to 11/12
0.6666 repeating = 2/3
123/999
7.11111...=7 1/9 or 64/9
0.161616... = 16/99 which cannot be simplified.
1.'19' repeating '19' as a fraction is 118/99
0.2 a repeating decimal into a fraction = 2/9
0.6666 repeating = 2/3
0.999 repeating = 1 (the integer).
If you convert repeating decimals into a fraction, you see that the repeating decimals are rational.
sexx
Just have a go.
56/99
It is 2/3.
123/999
998/999
998/999
0.555555555... = 5/9