Question

how do I find the 44th decimal digit in the decimal representation of 1/11

Answer 1

if 1/11= 0.0909090909090909 etc.

What do you think it is logically?

Answer 2

That doesn't show me that you got it. Don't just right it out 44 times.

Answer 3

You don't really need an equation. This is how I think of it as a programmer.

If every odd digit is 0 (1,3,5,7,9,11, etc.)
then every even digit is a 9 (0,2,4,6,8,10 etc.)