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I don't have any religious or emotional attachment to any of these unit systems. F
rom purely practical point of view I find scalars such as "30 feet 7¼ inches" impractical for calculations as you need yet another layer of conversion to decode these fractions.
I have just tested, and even wolframalpha.com is unable to decode this as a valid distance. It can convert 30' 7" but gets lost at that fractional part.