Convert 0.363636 into a fraction

Correct option is A

Given:

Decimal number = 0.363636... (recurring)

Solution:

Let x = 0.363636…

Multiply by 100(since two digit repeat):

100x = 36.363636…

Subtracting :

100x − x = 36.363636… − 0.363636…

99x = 3699

x = $$\frac{36}{99} = \frac{4}{11}$$ 

Thus, Option(a) $$\frac{36}{99}$$ is correct​