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

Lesson 2: 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 connecting expressions like 4 ÷ 3 to the fraction 4/3 and the mixed number 1⅓. Through word problems involving equal sharing, students practice writing division equations, converting improper fractions to mixed numbers, and comparing fractions to determine the greatest quotient. The lesson also reinforces fluency with equivalent fractions, fraction comparison, and converting fractions to decimals.

Section 1

Expressing a Remainder as a Fraction

Property

When a division problem a÷ba \div b results in a whole number quotient qq and a remainder rr, the exact answer can be expressed as a mixed number:

a÷b=qrba \div b = q \frac{r}{b}

Examples

Section 2

Compare Shares in Division Word Problems

Property

To determine the largest share between two different equal sharing scenarios, represent each share as a fraction, items to be sharednumber of sharers\frac{{\text{items to be shared}}}{{\text{number of sharers}}}, and then compare the resulting fractions.
The larger fraction corresponds to the larger individual share.

Examples

Book overview

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Chapter 20: Fractions as Division

  1. Lesson 1

    Lesson 1: Interpret a fraction as division.

  2. Lesson 2Current

    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

Expressing a Remainder as a Fraction

Property

When a division problem a÷ba \div b results in a whole number quotient qq and a remainder rr, the exact answer can be expressed as a mixed number:

a÷b=qrba \div b = q \frac{r}{b}

Examples

Section 2

Compare Shares in Division Word Problems

Property

To determine the largest share between two different equal sharing scenarios, represent each share as a fraction, items to be sharednumber of sharers\frac{{\text{items to be shared}}}{{\text{number of sharers}}}, and then compare the resulting fractions.
The larger fraction corresponds to the larger individual share.

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 1

    Lesson 1: Interpret a fraction as division.

  2. Lesson 2Current

    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.