why dividing 1 by 3 and then multiplying that by 3 doesn't give the right answer

Question

if I divide 1 by 3 and convert  it over to the decimal fraction form  of 0.333333... and then decide to multiply 0.333333... by 3 just as I would the fraction 1/3, I should get 1.0 but instead get 0.999999...instead of 1.0. Why?

Answer 1

from frakshun tu desimal (1/3)...0.3333333333333...

is not exakt

so round yer anser  round(0.999999999999999)=1

fakt av life...yu kant alwaes hav wot yu want

or yunivers make its rules & yu gotta liv with it

Answer 2

Then there must be a flaw in the conversion process, and math is not as exact as I thought it was.

I will accept the answer you gave me as the best possible answer and live with it as you suggested.

Thanks