SOLUTION: The number of half- pints in 19 gallons of milk?

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Question 617968: The number of half- pints in 19 gallons of milk?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%2819gal%29%2F1×%284qt%29%2F%281gal%29×%282pt%29%2F%281qt%29×%282hfpt%29%2F%281pt%29

Every one of those unit fractions has an equal numerator and denominator,
so quantity-wise they are all equal to 1.  In each unit fraction we pick
which one is to go on the denominator as the one which will cancel with a
unit in the preceding numerator.  I have abbreviated half-pints as "hfpt".

Cancel the gallons:

%2819cross%28gal%29%29%2F1×%284qt%29%2F%281cross%28gal%29%29×%282pt%29%2F%281qt%29×%282hfpt%29%2F%281pt%29

Cancel the quarts:

%2819cross%28gal%29%29%2F1×%284cross%28qt%29%29%2F%281cross%28gal%29%29×%282pt%29%2F%281cross%28qt%29%29×2hfpt%2F%281pt%29

Cancel the pints:

%2819cross%28gal%29%29%2F1×%284cross%28qt%29%29%2F%281cross%28gal%29%29×%282cross%28pt%29%29%2F%281cross%28qt%29%29×2hfpt%2F%281cross%28pt%29%29%29

All we have left is

%2819%29%2F1×%284%29%2F%281%29×%282%29%2F%281%29×2hfpt%2F1

19%2A4%2A2%2A2hfpt

304hfpt

304 half pints.

Edwin