I think this is also a case of just being more familiar with something, I find "1/2" or "3/8" much harder to parse than "0.5" or "0.375" (having grown up in the EU).
To you, it’s obvious and natural that „half” is 1/2.
To me, it looks off and I have to „convert” it in my mind to 0.5, which is the way I think about it.
│.╷.|.╷.│.╷.|.╷.│.╷.|.╷.│.╷.|.╷.│
0⅛¼⅜½⅝¾⅞1
So the measurement, when taken, is 1⅜".
I've seen inch rulers with different fractions, e.g. one end might be eights, the other sixteenths, turn it over and there are tenths.
(I don't know how this works with digital measuring devices — I grew up in Britain so have never used inches professionally. Only in Warhammer and TV screens.)