Learn on PengienVision, Mathematics, Grade 5Chapter 9: Apply Understanding of Division to Divide Fractions

Lesson 1: Fractions and Division

In this Grade 5 lesson from enVision Mathematics, students explore the relationship between fractions and division, learning that a fraction a/b is equivalent to the division expression a ÷ b. Using real-world sharing scenarios, students practice converting between fractions and division expressions and determining what fractional amount each person receives when a quantity is divided equally. This lesson builds the conceptual foundation for Chapter 9's focus on dividing fractions.

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 a Fraction

Property

To model the division $a \div b$ , you can partition $a$ wholes into $b$ equal shares.
The size of each share is the fraction $\frac{a}{b}$ .

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 a Fraction

Property

To model the division $a \div b$ , you can partition $a$ wholes into $b$ equal shares.
The size of each share is the fraction $\frac{a}{b}$ .