Tricky Quotient Question

1. Apr 1, 2005

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 im doing something wrong, but im not sure what.

2. Apr 1, 2005

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?

3. Apr 1, 2005

honestrosewater

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