Parts B and C of the Hamburger problem (see fig. 2) were introduced once students successfully worked though several scenarios with whole number solutions.
Like problem type A, both B and C use common denominator or equivalent-size units to help students better visualize the interaction between the magnitude of the dividend and divisor when dividing. The second problem, How many 3/8 pound hamburger patties can you make from 7/8 pound of hamburger? does not divide evenly and leads to a discussion about how to interpret the remainder as a fractional quantity. Here we are making groups of 3/8 pound patties that are three 1/8 of a pound each. The leftover, 1/8 pound, is 1/3 of the 3/8 needed to make a patty. A model for the calculation