Which rational number equals 0 point 1 with bar over 1? 1 over 11 1 over 10 1 over 9 1 over 8

Any decimal that repeats can be expressed a a rational number with integer numerator and denominator...

This is the procedure to finding the rational fraction

x=0.111  then you multiply this x so that it is greater than 1 but still has the same repeating decimal portion, here we just need to multiply by 10 so:

10x=1.111

Now you subtract the repeating decimal from the multiple of x...

10x=1.111...
-   x=0.111...

9x=1 now just get x by itself..

x=1/9  

This procedure works for any repeating decimal...