The fraction 1/3 is a compact and unambiguous representation—it doesn’t rely on an ellipsis or an understanding of infinite series to be interpreted. It can easily be used in later calculations (you never see .... notation in algebra). It is a useful notation.
As soon as you use decimals in computer and human calculations, they become lossy.
I'm not really sure what hill you are trying to die on. Fractions are useful, even if you don't know how to use them.
Wasn't the problem that their families were part of the protesters? That's why reinforcements from outside the city (without family ties) were called in.
I'm having a go at the reasoning more than the value. If having matching phones and headphones is important for social status then something is very wrong somewhere.
How does the physics of the Trump lean work? Are clown shoes the secret?