Express $$0.13\overline{241}$$​ in the form $$\frac{p}q$$​ , where p and q are integers and q≠0.

Correct option is D

Given:

​$$0.13\overline{241}$$

Solution:

x = $$0.13\overline{241}$$ ........ (1)

​​This means: 

x = 0.132412412412…

Multiply by 100 to shift the decimal point:

100x = 13.241241 ......... (2)

Multiply  (eq) 2 by 1000 

100000x = 13241.241241....... (3)

Subtract  equations (2) by (eq) 3 , we get

99900x = 13228

​$$x= \frac{13228}{99900}$$

x = $$\frac{3307}{24975}$$

​​The fraction form of $$0.13\overline{241}$$ is :

x = $$\frac{3307}{24975}$$​​