I don’t quite think you got his point since they are not literally the same. 32/64 implies an accuracy of 1/64th or .01563. 0.5 implies an accuracy of 0.05 or half of the increment of measurement (0.1 in this case).

I don’t agree however that fractions are more accurate since it is arbitrary. For instance 0.5000 is much more accurate than 32/64 or 1/64.

See if you have an Aldi near you. They are the cheapest grocery store I’ve been to in the US. I cook/prep 3 meals a day for only ~$40/week.