5.NF.B.7

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- 5.NF.B.3Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3 and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
- 5.NF.B.4Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
- 5.NF.B.5Interpret multiplication as scaling (resizing), by:
- 5.NF.B.6Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
- 5.NF.B.7Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

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5.NF.B.7b

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- 5.NF.B.7aInterpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.
- 5.NF.B.7bInterpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.
- 5.NF.B.7cSolve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?

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## 5.NF.B.7b

## Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4.

6 Lesson(s)

### Introduction to Dividing Whole Numbers by Fractions

5th Grade Math »
Unit: Multiplying and Dividing Fractions

5th Grade Math »
Unit: Multiplying and Dividing Fractions

### Connecting Multiplication and Division

6th Grade Math »
Unit: Fraction Operations

6th Grade Math »
Unit: Fraction Operations

Big Idea:

#### How are multiplication and division connected? Why do 11 divided by 2 and 11 times ½ result in the same answer? Students make connections between multiplication and division and work to develop strategies for dividing whole numbers by unit fractions.

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Reflections
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### Dividing Unit Fractions by Whole Numbers

5th Grade Math »
Unit: Multiplying and Dividing Fractions

5th Grade Math »
Unit: Multiplying and Dividing Fractions

### Expressing Fractions, Mixed Numbers, and Division Expression

5th Grade Math »
Unit: Adding and Subtracting Fractions with Unlike Denominators

5th Grade Math »
Unit: Adding and Subtracting Fractions with Unlike Denominators

### Dividing Fractions: Twisting Twizzlers

5th Grade Math »
Unit: Multiplying & Dividing Fractions

5th Grade Math »
Unit: Multiplying & Dividing Fractions

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HS Algebra

HS Functions

HS Geometry

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