Write the fraction as an infinite series

[nikchic5]

Can someone please help me? I don't understand how to do these! Thanks so much.
Wrtie the fraction 8/11 as an infinite series using summation notation?

Thanks so much!

 

[Deleted member 4993]

Hint:

8/11 = 72/99 = 72/(10^2) + 72/(10^4)/ + 72/(10^6) ...

 

[galactus]

One way may be:

\(\displaystyle \L\\8\sum_{n=1}^{\infty}\frac{1}{12^{n}}\)