Toast B.C. said:
The answer is simple even if people get too far up their own butts to admit it. (I have 3 friends exactly like this.)
No, 0.999999999 repeating does not equal 1. No tricks for multiplication of fractions and decimals will ever make them equal. Doing that 1/3= 0.333333333 line is about the same thing as running translations through google translate 8 times. It's fun, but the results aren't correct.
But it is damn near impossible to show the difference. Much like with 0, you can't show it, but treating them as something hey are not, creates false results.
They simply aren't, and it's something at just has to be accepted since people far smarter than all of us, who are paid to be as smart as they are, have to do calculations based on the difference. Saying, "close enough as makes no difference", will cause spaceships to explode. And if you have to make exceptions for differing levels of math, then you shouldn't be asking the question in the first place.
Again, these are just the arguments I have have seen in the past.
