In computing and elsewhere we often think that integer and floating point defines what is possible as methods of dealing with data. They fail in an obvious area where ratio maths provides an accurate answer.
1/3 does not express either in integer or floating point as accurately or as quickly as ratio maths does, something I have used again and again over my career and buried in commercial IP which are mostly in the ‘over taken by events’ portion of history.
It too has it’s limits. It cannot express zero or infinity, but only approach closely to them.