what fraction is equivelant to 0.54 repeating?

Let  x  =  0.54 54 54 54 54 ...

Then multiply by 100, because 100 will move the repeating digits to the left one cycle (two places):

   100 x  =  54. 54 54 54 ...     Now subtract the original value:

          x  =    0. 54 54 54 ...

     99x  =  54                         Finish by dividing by 99:

         x  =  54/99                   Reduce:

        x  =  6/11