Learn on PengiEureka Math, Grade 5Chapter 20: Fractions as Division

Lesson 1: Interpret a fraction as division.

In this Grade 5 Eureka Math lesson from Chapter 20: Fractions as Division, students learn to interpret a fraction as division by exploring how expressions like 1 ÷ 2 and 2 ÷ 3 relate directly to the fractions one-half and two-thirds. Using hands-on paper models and number bonds, students build understanding of how division with remainders connects to fractional quantities. Fluency activities reinforce comparing fractions, decomposing fractions into unit fractions, and dividing with remainders to prepare students for this core concept.

Section 1

Writing Division as a Fraction

Property

A division problem can be written as a fraction, where the dividend is the numerator and the divisor is the denominator.

a÷b=aba \div b = \frac{a}{b}

Examples

Section 2

Representing Division as an Improper Fraction

Property

When a dividend aa is greater than a divisor bb, the division expression a÷ba \div b is equivalent to the improper fraction ab\frac{a}{b}.

a÷b=ab(where a>b)a \div b = \frac{a}{b} \quad (\text{where } a > b)

Examples

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Chapter 20: Fractions as Division

  1. Lesson 1Current

    Lesson 1: Interpret a fraction as division.

  2. Lesson 2

    Lesson 2: Interpret a fraction as division.

  3. Lesson 3

    Lesson 3: Use tape diagrams to model fractions as division.

  4. Lesson 4

    Lesson 4: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Writing Division as a Fraction

Property

A division problem can be written as a fraction, where the dividend is the numerator and the divisor is the denominator.

a÷b=aba \div b = \frac{a}{b}

Examples

Section 2

Representing Division as an Improper Fraction

Property

When a dividend aa is greater than a divisor bb, the division expression a÷ba \div b is equivalent to the improper fraction ab\frac{a}{b}.

a÷b=ab(where a>b)a \div b = \frac{a}{b} \quad (\text{where } a > b)

Examples

Book overview

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

Continue this chapter

Chapter 20: Fractions as Division

  1. Lesson 1Current

    Lesson 1: Interpret a fraction as division.

  2. Lesson 2

    Lesson 2: Interpret a fraction as division.

  3. Lesson 3

    Lesson 3: Use tape diagrams to model fractions as division.

  4. Lesson 4

    Lesson 4: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.