## Multiplying Fractions by a Whole Number

Multiplying Fractions Parent Letter | |

File Size: | 26 kb |

File Type: | docx |

__Standard__:

**4.NF.4**

Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

- a. Understand a fraction
*a*/*b*as a multiple of 1/*b*.*For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).*

- b. Understand a multiple of
*a*/*b*as a multiple of 1/*b*, and use this understanding to multiply a fraction by a whole number.*For**example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5),**recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)*

- c. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.
*For example, if each person at a party will**eat 3/8 of a pound of roast beef, and there will be 5 people at the**party, how many pounds of roast beef will be needed? Between what**two whole numbers does your answer lie?*

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