MAFS.4.NF.2.4 - Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. 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). 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.) 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?

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

  1. 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).
  2. 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.)
  3. 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?
(Standard #: MAFS.4.NF.2.4)

3 Original Tutorials

Original Tutorials

Buffy's Bakery Part 4- Multiplying a Fraction by a Whole: Standard Algorithm

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Help Buffy multiply fractions by whole numbers using the standard algorithm in addition to visual fraction models in this bakery-themed, interactive tutorial. This is part4 of a 4-part series. Click below to open other tutorials in the series. Part 1: Visual Models and Multiplying Fractions Part 2: Multiplying Fractions Part 3Using Models to Multiply a Fraction by a Whole Number

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Subject Area(s): Mathematics

Grade Level(s): 5

Primary Resource Type: Original Tutorial

Buffy’s Bakery Part 3: Using Models to Multiply a Fraction by a Whole Number

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Help Buffy the Baker multiply a fraction by a whole using models in this sweet interactive tutorial. This is part 3 of a 4-part series. Click below to open other tutorials in the series. Part 1: Visual Models and Multiplying Fractions Part 2: Multiplying Fractions Part 4:Multiplying a Fraction by a Whole Number - Standard Algorithm

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Subject Area(s): Mathematics

Grade Level(s): 4, 5

Primary Resource Type: Original Tutorial

Multiplying Fractions with Bake Sale Mania

Find the total amounts of repeated fraction quantities by multiplying a fraction by a whole number using visual models that represent real-world problems and cookies in this interactive tutorial.

Subject Area(s): Mathematics

Grade Level(s): 4

Primary Resource Type: Original Tutorial