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Technically, .3333333333 ever going is 1/3. So, .666666666666 ever going is 2/3.

So, at this point it would be .9999999999999 going on forever would be 3/3 which is equivalent to 1!

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Answer 2.

If x = 0.99999 (recurring)

then

10x = 9.99999 (recurring)

9x = 10x - x

Therefore

9x = 9.99999 (recurring) - 0.99999 (recurring)

9x = 9

x = 1

Therefore 0.99999 (recurring) = 1.

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Q: What equation proves that the decimal of never ending 9s equals 1?
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