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Multiply Fractions by Whole Number

- 4th Grade Math

Once students are familiar with multiplying unit fractions by a whole, they can extend this understanding to multiplying any fraction by a whole. For example, to multiply n x a/b, students can follow the following reasoning:
a/b is the same a copies of the unit fraction 1/b or a x (1//b). Therefore, n x a/b is the same as (n x a) copies of the unit fraction 1/b or (n x a)/b. 
Before students begin to apply the above written method to multiply fractions to a whole, it is important that they visualize this operation using pictorial representations. Therefore, Multiply Fractions by a Whole Worksheet starts off by multiplication, using numbers lines or area models, before moving on to direct multiplication.

Common Core Alignment

4.NF.4.bUnderstand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.