If I cut something into 3 equal pieces, there are 3 defined pieces. But, 1÷3= .333333~. Why is the math a nonstop repeating decimal when existence allows 3 pieces? Is the assumption that it’s physically impossible to cut something into 3 perfectly even pieces?

Question

If I cut something into 3 equal pieces, there are 3 defined pieces. But, 1÷3= .333333~. Why is the math a nonstop repeating decimal when existence allows 3 pieces? Is the assumption that it’s physically impossible to cut something into 3 perfectly even pieces?

In: Mathematics

Answer 1

Here is the math proof for it since no one else seems to have posted it.

Let; X=0.3333…

Therefore; 10X=3.3333…

Thus; (10X-X)=(3.3333…-0.3333…)

Or; 9X=3

Then; X=3/9 (X=1/3)

And as such; 1/3=0.3333…