Multiplying Fractions, the Commutative Property

Multiplying Fractions, the Commutative Property is a Grade 5 visual investigation that shows why changing the order of fraction factors does not change the product. Students compare models such as one half of three fifths and three fifths of one half, using shaded rectangles to see that both expressions represent the same area. The model makes the property visible instead of merely stated.

Use it in small groups when students are beginning fraction multiplication and need a conceptual reason for the commutative property. Teams can create their own test cases and compare the overlapping regions to check whether the products match. Create a free Find a Math Game account to generate lesson support for Multiplying Fractions, the Commutative Property. No credit card, with 3 lifetime lesson generations.