why does 2/3 equal 0.666666666666666667?

The answer has to do with useful utility in solving formulas at or current level of technological reach. Likely the smallest measurable dimension used in lab research is in the field of light travel distance speeds. Scalar multiplied creating speed differential frequencies far beyond the old ideas that science used to believe about light. The yoctosecond is a septillionth of a second. Hence we need to round off the repeating decimals to that place for consistency.

There isn't. The 7 is there because a 6 got rounded up. The 6 repeats indefinitely.

I does not really 2/3 is a non terminating repeating decimal that goes on for ever. .666666666666666666666........ However, if you could divide it by 2 then multiply by 3 it would equal 1.


.999999999999999999....... = 1

thats an irrational question

(dont often get to make (bad) math jokes)

wow 7 views how ironic

It stops the 66's from falling out...

When you get to the end of the 6's, there are an inifity more. So mathematicians are lazy and round up the last 6 they can be fussed to write to a 7.

There isn't a 7 in it. It's sixes all the way forever.

There isnt. It's simply a lack of more decimals