To divide (a/b) by a whole number c, students can consider dividing the unit fraction (1/b) into c parts, then multiplying that number by a.
What to look for
Asking students how the representation of the unit square is connected to the process of dividing by a whole number can lead to a productive discussion about their interpretation both of the unit square and of the mathematical question.
(3/4) of a package of pens is to be shared among six people.
a. How much of the whole package does each person get?
Answer: Each person will get (3/24) or (1/8) of the package.
b. If each package has 16 pens, how many pens will each person get?
Answer: 2 pens