I'm only in Algebra II... 

...interesting maths? :/ 

I'm only in Algebra II... 

.333 = 1/3 

I get that. I'm not stupid. 

There are no equations which would lead to that conclusion. 

Yes, I just tried. 

0 .1 .2 .3 .4 .5 .6 .7 .8 .9 .9999999~9 1 

There is no way of expressing .9... as a fraction other than 1/1. 

But .999... is exactly 1. 

The big problem I have with these proofs is that you are applying rules meant for rational numbers on irrational ones. 

0.99... isn't irrational... 

arby; Well, you don't normally find decimals in proper maths. 

I know. It's like calling me Grod. Grod is Grod. I'm SomeGuy. 

But it's just been proved for you in two different and valid ways. 

Then what is the fractional equivalent of .999...? 

No one said that number equals one. We said 0.9~ equals one. See, the way you wrote your version of the number, it's obvious that you think the 9's "end". They don't. As soon as you understand that, you will see that it clearly is 1. 

I also have 6 ways to prove that it, in fact, is not 1. 

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