Question

Expressed this in fraction.
.090909090909........

Answer 1

this is:
\[\frac{9}{100}+\frac{9}{10000}+\frac{9}{1000000}\cdots\]
First term is 9/100, r = 1/100
Use the formula for the sum of an infinite series.

Answer 2

so, what is the final asnwer?

Answer 3

I doubt alfers knows Calc II, joe.

The more basic way:

x = 0.09...

100x = 9.09...
- x = 0.09...
------------
99x = 9

x = 9/99 = 1/11.

Answer 4

yeah! thank u so much. i remember now. =] thank u!!

Answer 5

1/11