Erm, no, the problem is totally wrong, and even my first explaination was wrong, in a way.
The problem looks like this.
x = .9r
10(.9r)=9.9r
10(.9r)-.9r=9.9r-.9r
8.1r=9.0r
r=1.11r
1=1.11 (Which is the correct answer, although of course, the not true one... something like that.)
and .3333333 does not equal 1/3rd. .33 repeating is irrational and can't be expressed as a fraction, .3333 repeating is a close approximation of 1/3rd.
So no, it still doesn't work.
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