Apply and extend previous understandings of multiplication to multiply a fraction by a whole number (b × c/d). a. Estimate products by reasoning about benchmark numbers and assess reasonableness of answers (e.g., 4 × 1/2 will be less than 4 because I have 4 groups of something less than 1). b. Use understanding of multiplication as equal groups to multiply a unit fraction by whole number (e.g., interpret b × 1/d as b groups of 1/d). c. Use understanding of multiplication as equal groups to multiply a fraction by whole number (e.g., interpret b × c/d as b groups of c/d when c/d is greater than or less than 1). d. Solve problems in context involving multiplication of a fraction by a whole number, using visual fraction models and equations to represent the problem.
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