× × × 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: × × × Cancel the quarts: × × × Cancel the pints: × × × All we have left is × × × 304 half pints. Edwin