Learn on PengiEureka Math, Grade 4Chapter 24: Fraction Addition and Subtraction

Lesson 6: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.

In this Grade 4 Eureka Math lesson from Chapter 24, students use tape diagrams and number lines to add two fractions with related denominators, where one denominator is a factor of the other, using units of 2, 3, 4, 5, 6, 8, 10, and 12. Students practice converting fractions to like units by decomposing the larger unit, then apply number bonds to rename improper fraction sums as mixed numbers. This lesson builds directly on equivalent fraction skills from earlier in the module and prepares students for adding fractions with unlike denominators in Grade 5.

Section 1

Adding Fractions with Related Denominators

Property

To add fractions with related, unlike denominators, first find a common denominator by creating an equivalent fraction for the term with the smaller denominator.
Then, add the numerators.

\frac{a}{b} + \frac{c}{d} = \frac{a \times k}{b \times k} + \frac{c}{d}

where $d$ is a multiple of $b$ and $d = b \times k$ .

Examples

Section 2

Convert an Improper Fraction to a Mixed Number Using a Number Bond

Property

To convert an improper fraction to a mixed number, decompose it into a whole number and a proper fraction.
A number bond can be used to show this decomposition, where one part is a fraction equal to one whole ( $\frac{b}{b}$ ) and the other part is the remainder.

\frac{a}{b} = \frac{b}{b} + \frac{a-b}{b} = 1\frac{a-b}{b}

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Adding Fractions with Related Denominators

Property

To add fractions with related, unlike denominators, first find a common denominator by creating an equivalent fraction for the term with the smaller denominator.
Then, add the numerators.

\frac{a}{b} + \frac{c}{d} = \frac{a \times k}{b \times k} + \frac{c}{d}

where $d$ is a multiple of $b$ and $d = b \times k$ .

Examples

Section 2

Convert an Improper Fraction to a Mixed Number Using a Number Bond

Property

\frac{a}{b} = \frac{b}{b} + \frac{a-b}{b} = 1\frac{a-b}{b}

Examples

Overview

Lesson overview

Review the lesson summary and core properties without leaving the current page.

Overview

Section 1

Adding Fractions with Related Denominators

Property

To add fractions with related, unlike denominators, first find a common denominator by creating an equivalent fraction for the term with the smaller denominator.
Then, add the numerators.

\frac{a}{b} + \frac{c}{d} = \frac{a \times k}{b \times k} + \frac{c}{d}

where $d$ is a multiple of $b$ and $d = b \times k$ .

Examples

Section 2

Convert an Improper Fraction to a Mixed Number Using a Number Bond

Property

\frac{a}{b} = \frac{b}{b} + \frac{a-b}{b} = 1\frac{a-b}{b}