The point of this is that addresses like 1/2, and even 3/4 and so on, do occur in the US, although they're uncommon compared to alphanumeric addresses. If you're in the position of dividing a housing unit it's a better idea to use a B suffix, I used to deal with a 1/2 address and it was constantly rejected by online forms that didn't allow a / in that field.
The USPS has long angled to reduce these problems by assigning a unique number to every delivery point (the ZIP + 4 + DP or '11 digit ZIP'), but this is complicated for all of the reasons you would imagine. Fundamentally the job of interpreting an address still comes down to the common sense of the letter carrier.
USPS P28 has extensive information on how USPS recommends that software handle address formats for e.g. bulk mailing, which is rather lengthy in part because of the huge variety of address variations present in the US.
Sherlock Holmes' "222B Baker Street" is a famous example.
In France if you put a building between existing addresses 11 and 13 you might do "11 bis" (or if that's taken even "11 ter"). "bis" might be translated as "again", though it's linguistically related to 2, as can be seen by "ter" which clearly looks like 3.
IIRC (it's been many years) you see this notation in the tree structure of 4G/LTE wireless deployment; the secondary (subsidiary) transmission nodes are referred to as "bis" nodes (I only vaguely remember this because an American engineer giving an otherwise excellent lecture on 4G topology mocked this French terminology).
Bizarre story: In 1984/85 I lived at 11 bis Rue XXX in Paris. Literally the week before last -- 35 years later -- I met an American woman at a dinner in Palo Alto who turns out to have lived at number 13. What a small world!
https://pe.usps.com/text/pub28/welcome.htm
And then consider that, on top of all this, while the USPS doesn't like it, just writing the name of a major institution or company on an envelope will still often result in delivery - if it gets to the post office they'll do their best.
There may also be an addition of multiple letters. For example: in the Netherlands it is not uncommon to see a number like '45 bis' or even '45 bis B'.
'bis' is latin for 'twice', indicating that the building was split into 2 separate houses at some point in time.
Neighbors up the road have 1234A and my parents have 1234B.
https://rew-online.com/paramount-sells-zero-bond-street-for-...
Regina Pizzeria at 11½ Thacher St in Boston's North End
https://en.wikipedia.org/wiki/Regina_Pizzeria
I imagine there are more in that neighbourhood.
I used to work on postal address recognition software and I don't recall that we had any capability for recognizing strings of digits that contained fractions.
It was a long time ago now, but it seems like something I would have remembered.
I ended up usually writing it as "200h" instead of "200 1/2".
Worked surprisingly well. One of the advantages of having deliveries still carried out by actual people where the address apparently doesn't have to be an exact match.
Sometimes they use A,B,C,D as well rather than fractions.
A house number is a type of building number.