SOLUTION: convert these repeating decimals .090909 .999 .909090

Algebra ->  Finance -> SOLUTION: convert these repeating decimals .090909 .999 .909090      Log On


   

Question 508541: convert these repeating decimals .090909 .999 .909090
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
convert these repeating decimals
.090909
n = 0.090909...
100n = 9.090909...
- n = 0.090909...
99n = 9
n = 9/99
n = 1/11
-----------
.999
1n = 0.999...
10n = 9.999...
-1n = -.999
9n = 9
n = 1
------------
.909090
It's 10 times the 1st one,
= 10/11