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Math Focus: Number and Operations
Multiplication of a Fraction and a Whole Number
Essential Questions: How can you describe a fraction using a unit fraction? How can you multiply a fraction by a whole number? How can you multiply a whole number by a fraction?
MA.4.FR.2.4 Extend previous understanding of multiplication to explore the multiplication of a fraction by a whole number or a whole number by a fraction.
Example: Shanice thinks about finding the product 1 4 × 8 by imagining having 8 pizzas that she wants to split equally with three of her friends. She and each of her friends will get 2 pizzas since 1 4 × 8 = 2.
Example: Lacey thinks about finding the product 8 × 1 4 by imagining having 8 pizza boxes each with one-quarter slice of a pizza left. If she put them all together, she would have a total of 2 whole pizzas since 8 × 1 4 = 8 4 which is equivalent to 2.
MA.4.AR.1.3 Solve real-world problems involving multiplication of a fraction by a whole number or a whole number by a fraction.
Example: Ken is filling his garden containers with a cup that holds 2 5 pounds of soil. If he uses 8 cups to fill his garden containers, how many pounds of soil did Ken use?