1.236576576 can be written in the form of:

Correct option is C

Given: 

1.236576576....

Solution:

Let: x = 1.236576576… 

multiplying by 100 

100x = 123.6576576576…  (1)

where the decimal "657" repeats. So, multiplying by 10⁵​
10000x = 123657.6576576…(2)

Now subtract equation(1) from (2):

10000x − 100x  = 123657.6576576… − 123.6576576…

99900x = 123534

Now,

​$$x = \frac{123534}{99900}$$ 

​​Thus, the decimal $1.236576576\dots$ can be written as the fraction:

$$x = \frac{123534}{99900}$$​​