Learn on PengiPengi Math (Grade 4)Chapter 6: Understanding Fractions

Lesson 1: The Unit Fraction Concept

In this Grade 4 lesson from Pengi Math Chapter 6, students learn to identify and define unit fractions — fractions with a numerator of 1 that represent one equal part of a whole divided into n parts. Students also practice representing one whole as a fraction in the form n/n, building a foundational understanding of how fractions relate to equal partitioning.

Section 1

Representing One Whole as a Fraction

Property

A fraction is equal to the whole number 1 when its numerator (the top number) and its denominator (the bottom number) are the same.

\frac{{n}}{{n}} = 1

(where $n$ is any whole number except 0)

Examples

Section 2

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 $\frac{1}{d}$ , where $d$ is the total number of equal parts.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Representing One Whole as a Fraction

Property

A fraction is equal to the whole number 1 when its numerator (the top number) and its denominator (the bottom number) are the same.

\frac{{n}}{{n}} = 1

(where $n$ is any whole number except 0)

Examples

Section 2

Unit Fractions