Oh no, the whole decimal versus fraction debate again
I am pretty sure I got divorced over this one once.
My ex-wife was a teacher and taught 5th graders and as a joke gave me one of their tests. I took it, did it, then handed it back to which she marked most of them wrong.
As a machinist/welder we do not work in fractions, we work in decimals because fractions do not exist in the real world. So I converted all the fractions to decimals, worked it up, converted my answers back, and handed it back. I was getting results like 63/64ths and that was NOT what she wanted, she wanted 7/8ths. I claimed I was more accurate, but you can never make a convincing argument to a pregnant teacher/wife.
But it is true, you cannot cut something into thirds for instance, the best you can do is cut it as close to 1/3 as the parameters you are working with allow. In my machinist world the LIMITATIONS of our machines was .00001, but it was hardly a third, we just stopped at that point because it was as far as we could go. (Fingerprints are about .008 so after that you cannot even feel the difference lower than that)
I figured in the end if she did not know that 63/64ths was more accurate then 7/8ths she needed to go, so I kicked her to the curb...or I guess as it really is in Maine, onto the other side of the rock wall.