0.3666.....
If a number is repeating singly, just know it has to do with dividing by 9.
Let the number be x = 0.36.... (i)
Multiply both sides by 10.
10x = 3.66... (ii)
Equation (ii) - (i)
10x - x = 3.66 - 0.36
9x = 3.3
x = 3.3/9
x = (33/10)*(1/9)
x = 33/90
x = 11/30
The simplest fraction is 11/30
