Key Mathematical Ideas

Problems involving multiplication and division of positive rational numbers require contexts that allow for the objects to be broken into parts.

A consequence of the relationship between multiplication and division is that a given multiplication situation produces two different division statements, depending on which of the two factors is missing.

Diagram solutions for problems involving division of fractions can reveal the relationships among the operations, that is, calling on addition, subtraction, or multiplication can solve a division of fractions problem.

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