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 \div b = \frac{a}{b}

Examples

Section 2

Representing Division as an Improper Fraction

Property

When a dividend $a$ is greater than a divisor $b$ , the division expression $a \div b$ is equivalent to the improper fraction $\frac{a}{b}$ .

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

Examples

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 \div b = \frac{a}{b}

Examples

Section 2

Representing Division as an Improper Fraction

Property

When a dividend $a$ is greater than a divisor $b$ , the division expression $a \div b$ is equivalent to the improper fraction $\frac{a}{b}$ .

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