The fraction equivalent to 0.4363636……….. is:

Correct option is A

Given : 

Number = 0.4363636....

Solution :

Let $x=\mathrm{0.4363636...}$.

Then

100x = 43.6363636...

Now, subtracting the original equation from this new equation :

100x − x = 43.6363636... − 0.4363636...

99 x = 43.2 

x = $$\frac{43.2}{99}=\frac{432}{990}=\frac{24}{55}$$

The correct answer is option( a )  $$\frac{24}{55}$$​