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

Lesson 4: Divide Whole Numbers by Unit Fractions

In this Grade 5 enVision Mathematics lesson from Chapter 9, students learn how to divide whole numbers by unit fractions using area models and number lines. The lesson explains that a unit fraction has a numerator of 1, and students discover that dividing by a unit fraction is equivalent to multiplying by its denominator. Practice problems guide students through solving expressions such as 3 ÷ 1/4 and applying this skill to real-world contexts.

Section 1

Unit Fractions

Property

The fractional unit is the name for the equal parts a whole is divided into (e.g., thirds, fourths).
A unit fraction is one of these equal parts, written as 1d\frac{1}{d}, where dd is the total number of equal parts.

Examples

Section 2

Using a Number Line for Division by a Unit Fraction

Property

To divide a whole number WW by a unit fraction 1D\frac{1}{D}, you can count how many 1D\frac{1}{D} parts are in WW on a number line. The total number of parts is the quotient.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Unit Fractions

Property

The fractional unit is the name for the equal parts a whole is divided into (e.g., thirds, fourths).
A unit fraction is one of these equal parts, written as 1d\frac{1}{d}, where dd is the total number of equal parts.

Examples

Section 2

Using a Number Line for Division by a Unit Fraction

Property

To divide a whole number WW by a unit fraction 1D\frac{1}{D}, you can count how many 1D\frac{1}{D} parts are in WW on a number line. The total number of parts is the quotient.

Examples