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)

4 Other Resources

Other Resources

Multiplying a Fraction by a Whole Number

In this Khan Academy video visual fraction models are used to represent the expressions and the products.

Subject Area(s): Mathematics

Grade Level(s): 4

Primary Resource Type: Tutorial

Ice Ice Maybe: An Operations Estimation Game

This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents. Various levels of difficulty make this game appropriate for multiple age and ability levels. Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals. Multiplication/Division: The multiplication and addition of fractions and decimals. Percentages: Identify the percentage of a whole number. Fractions: Multiply and divde a whole number by a fraction, as well as apply properties of operations.

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Subject Area(s): Mathematics

Grade Level(s): 3, 4, 5, 6

Primary Resource Type: Educational Game

Fraction Quiz

Test your fraction skills by answering questions on this site. This quiz asks you to simplify fractions, convert fractions to decimals and percentages, and answer algebra questions involving fractions. You can even choose difficulty level, question types, and time limit.

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Subject Area(s): Mathematics

Grade Level(s): 4, 5, 6

Primary Resource Type: Educational Game

Sugar in six cans of soda

This task provides a familiar context allowing students to visualize multiplication of a fraction by a whole number. This task could form part of a very rich activity which includes studying soda can labels.

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Subject Area(s): Mathematics

Grade Level(s): 4

Primary Resource Type: Problem-Solving Task