It has a fixed method in regards o finding the fraction for 0.27 repeating. Let us now write down the method for you to understand clearly
Let us assume that
x = 0.27272727.....
Now let us multiply both sides by 100 to get a second equation
100x = 27.272727......
Let us now subtract the first equation from the second. We get
100x = 27.272727......
x = 0.27272727....
We get
99x = 27
x = 27/99
= 3/11
From the above deduction, we can conclude that the fraction for 0.27 repeating is 3/11.