
Originally Posted by
TheVoiceInYourHead
But there is no last number.
And no, they used the formula correctly.
There's no last number in 0.99999999999... but there's a last number in 1.0. That just proves that it's incorrect.
And no, the formula is used incorrectly. When you use it to find the fraction of a recurring decimal, you have to isolate the non-recurring part from the recurring part, by multiplying by an integer multiple of 10. In 0.999999... the recurring and non-recurring can not be separated, and so the formula is not usable.
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