In metric a meter isn't as nicely divisible. Of course we get around that by subdividing 1.2m or 1.5m instead (or 0.8, kitchens and lots of furniture is designed in outer dimensions that are fractions and multiplies of 0.8 meters). But that only works well if you write them out add decimals, because saying "this cupboard is 1/2 0.8 meter wide" is just silly
│.╷.|.╷.│.╷.|.╷.│.╷.|.╷.│.╷.|.╷.│
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.)
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.
That said, as soon as I need to do any arithmetic on the number (including compare it to other numbers) I convert it from fraction to decimal.