Learn on PengiEureka Math, Grade 5Chapter 25: Division of Fractions and Decimal Fractions

Lesson 2: Divide a unit fraction by a whole number.

In this Grade 5 Eureka Math lesson from Chapter 25 on Division of Fractions and Decimal Fractions, students learn how to divide a unit fraction by a whole number. The lesson builds on prior work with multiplying fractions and dividing whole numbers by fractions, using visual models and number sentences to develop understanding of the concept. Students practice interpreting expressions such as one-third divided by four and connecting the process to the relationship between multiplication and division of fractions.

Section 1

Model Division of a Unit Fraction with a Tape Diagram

Property

To divide a unit fraction 1b\frac{1}{b} by a whole number cc using a tape diagram, you partition the 1b\frac{1}{b} piece into cc equal parts. Each new, smaller part represents the fraction 1b×c\frac{1}{b \times c} of the whole.

1b÷c=1b×c\frac{1}{b} \div c = \frac{1}{b \times c}

Examples

Section 2

Divide Using an Equivalent Fraction

Property

When dividing a unit fraction by a whole number, you can rename the unit fraction into an equivalent fraction to make the division easier. Create an equivalent fraction where the numerator is equal to the whole number divisor. Then, divide the numerator by the divisor, which will result in a numerator of 1, and keep the new denominator.

Examples

Book overview

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Chapter 25: Division of Fractions and Decimal Fractions

  1. Lesson 1

    Lesson 1: Divide a whole number by a unit fraction.

  2. Lesson 2Current

    Lesson 2: Divide a unit fraction by a whole number.

  3. Lesson 3

    Lesson 3: Solve problems involving fraction division.

  4. Lesson 4

    Lesson 4: Write equations and word problems corresponding to tape and number line diagrams.

  5. Lesson 5

    Lesson 5: Connect division by a unit fraction to division by 1 tenth and 1 hundredth.

  6. Lesson 6

    Lesson 6: Divide decimal dividends by non-unit decimal divisors.

  7. Lesson 7

    Lesson 7: Divide decimal dividends by non-unit decimal divisors.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Model Division of a Unit Fraction with a Tape Diagram

Property

To divide a unit fraction 1b\frac{1}{b} by a whole number cc using a tape diagram, you partition the 1b\frac{1}{b} piece into cc equal parts. Each new, smaller part represents the fraction 1b×c\frac{1}{b \times c} of the whole.

1b÷c=1b×c\frac{1}{b} \div c = \frac{1}{b \times c}

Examples

Section 2

Divide Using an Equivalent Fraction

Property

When dividing a unit fraction by a whole number, you can rename the unit fraction into an equivalent fraction to make the division easier. Create an equivalent fraction where the numerator is equal to the whole number divisor. Then, divide the numerator by the divisor, which will result in a numerator of 1, and keep the new denominator.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 25: Division of Fractions and Decimal Fractions

  1. Lesson 1

    Lesson 1: Divide a whole number by a unit fraction.

  2. Lesson 2Current

    Lesson 2: Divide a unit fraction by a whole number.

  3. Lesson 3

    Lesson 3: Solve problems involving fraction division.

  4. Lesson 4

    Lesson 4: Write equations and word problems corresponding to tape and number line diagrams.

  5. Lesson 5

    Lesson 5: Connect division by a unit fraction to division by 1 tenth and 1 hundredth.

  6. Lesson 6

    Lesson 6: Divide decimal dividends by non-unit decimal divisors.

  7. Lesson 7

    Lesson 7: Divide decimal dividends by non-unit decimal divisors.