Converting the repeating decimal 1.262626... to a fraction

[abbeyofthelema]

i am being asked to express 1.262626... as a quotient of two whole numbers. would the answer to this be a simple 1.262626.../1000000?
I know I am doing something wrong, but I am not sure what.

 

[Galileo]

1.262626... is not a whole number.

Are you familiar with the geometric series?
$$\sum_{n=0}^{\infty}x^n=\frac{1}{1-x}$$

Can you write 1.262626... as a geometric series?

 

[honestrosewater]

1.262626... is not a whole number.

Are you familiar with the geometric series?
$$\sum_{n=0}^{\infty}x^n=\frac{1}{1-x}$$

Can you write 1.262626... as a geometric series?

I just have to say that is so cool. Eh, you would learn that in calculus, right?