Multiplying Fractions with Whole Numbers 

Multiplying Fractions with Whole Numbers

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) or 5 /4 = ( 1 /4) + ( 1 /4) + ( 1 /4) + ( 1 /4) + ( 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?