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# Multiply Fractions by Whole Number

- 5th Grade Math**Multiply Fraction by a Whole Worksheet** focuses on multiplying a fraction by a whole. In addition to direct multiplication, students practice multiplication as scaling. For example, the result of multiplying a number by a fraction less than 1 is less than the original number; therefore it is like scaling down. Similarly, multiplying by a fraction greater than 1 is like scaling up. In this worksheet, students also encounter situation, where the result of multiplication is a whole. For example, 20 x 3/4 = 15.

### Common Core Alignment

**5.NF.5.a**Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.

**5.NF.5.b**Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n×a)/(n×b) to the effect of multiplying a/b by 1.

**5.NF.4.a**Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.