In this Grade 5 lesson from enVision Mathematics Chapter 8, students learn how to multiply a fraction by a whole number using two strategies: repeated addition and the Associative Property. They practice expressing products like 6 × 2/3 as repeated sums or by decomposing the fraction into a unit fraction, then applying the Associative Property to simplify the calculation. The lesson builds toward fluency with fraction multiplication through guided and independent practice with real-world problems.
Section 1
Repeated Addition of Fractions as Multiplication
Any fraction can be understood as the repeated addition of the unit fraction .
This sum can be expressed as a multiplication equation where the numerator 'a' is the number of times the unit fraction is added.
Section 2
Justifying the Rule with the Associative Property
To multiply a whole number by a fraction , you can decompose the fraction, apply the associative property, and then multiply the whole number by the numerator.
This demonstrates the rule .
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Section 1
Repeated Addition of Fractions as Multiplication
Any fraction can be understood as the repeated addition of the unit fraction .
This sum can be expressed as a multiplication equation where the numerator 'a' is the number of times the unit fraction is added.
Section 2
Justifying the Rule with the Associative Property
To multiply a whole number by a fraction , you can decompose the fraction, apply the associative property, and then multiply the whole number by the numerator.
This demonstrates the rule .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter