So it's actually 0.36363636... with the 36 repeating, right?
Here's a technique for converting repeating decimals to fractions:
N = 0.3636363636...
100N = 36.36363636...
This means 100N - N = (36.363636...) - (0.36363636...). This simplifies to 99N = 36, because the "0.36363636..." parts of both numbers on the right cancel each other out.
Solving this for N gives
N = 36/99, or 4/11
If you take a calculator (or use long division) and divide 4 by 11, you'll see that it's 0.36363636...