Learn on PengiEureka Math, Grade 4Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

Property.

Section 1

Decomposing Mixed Numbers into Wholes and a Fraction Part

Property

A mixed number $A \frac{b}{c}$ is visually represented by $A$ wholes, where each whole is equivalent to $\frac{c}{c}$ , plus the fractional part $\frac{b}{c}$ .

Examples

Section 2

Convert a Mixed Number to a Fraction Greater Than 1 (Algorithm)

Property

To convert a mixed number, represented as $A\frac{b}{c}$ , into a fraction greater than 1 (an improper fraction), use the following formula:

A\frac{b}{c} = \frac{(A \times c) + b}{c}

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

Back to Eureka Math, Grade 4

Lesson 1
Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.
Learn Practice
Lesson 2
Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.
Learn Practice
Lesson 3
Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.
Learn Practice
Lesson 4Current
Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.
Learn Practice
Lesson 5
Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.
Learn Practice
Lesson 6
Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.
Learn Practice
Lesson 7
Lesson 7: Solve word problems with line plots.
Learn Practice

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Decomposing Mixed Numbers into Wholes and a Fraction Part

Property

A mixed number $A \frac{b}{c}$ is visually represented by $A$ wholes, where each whole is equivalent to $\frac{c}{c}$ , plus the fractional part $\frac{b}{c}$ .

Examples

Section 2

Convert a Mixed Number to a Fraction Greater Than 1 (Algorithm)

Property

To convert a mixed number, represented as $A\frac{b}{c}$ , into a fraction greater than 1 (an improper fraction), use the following formula:

A\frac{b}{c} = \frac{(A \times c) + b}{c}

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

Back to Eureka Math, Grade 4

Lesson 1
Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.
Learn Practice
Lesson 2
Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.
Learn Practice
Lesson 3
Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.
Learn Practice
Lesson 4Current
Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.
Learn Practice
Lesson 5
Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.
Learn Practice
Lesson 6
Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.
Learn Practice
Lesson 7
Lesson 7: Solve word problems with line plots.
Learn Practice

Overview

Lesson overview

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

Overview

Section 1

Decomposing Mixed Numbers into Wholes and a Fraction Part

Property

A mixed number $A \frac{b}{c}$ is visually represented by $A$ wholes, where each whole is equivalent to $\frac{c}{c}$ , plus the fractional part $\frac{b}{c}$ .

Examples

Section 2

Convert a Mixed Number to a Fraction Greater Than 1 (Algorithm)

Property

To convert a mixed number, represented as $A\frac{b}{c}$ , into a fraction greater than 1 (an improper fraction), use the following formula:

A\frac{b}{c} = \frac{(A \times c) + b}{c}

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

Back to Eureka Math, Grade 4

Lesson 1
Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.
Learn Practice
Lesson 2
Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.
Learn Practice
Lesson 3
Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.
Learn Practice
Lesson 4Current
Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.
Learn Practice
Lesson 5
Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.
Learn Practice
Lesson 6
Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.
Learn Practice
Lesson 7
Lesson 7: Solve word problems with line plots.
Learn Practice

Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

Property

Examples

Property

Examples

Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.

Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.

Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.

Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.

Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.

Lesson 7: Solve word problems with line plots.

Lesson overview

Property

Examples

Property

Examples

Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.

Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.

Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.

Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.

Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.

Lesson 7: Solve word problems with line plots.

Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.

Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.

Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.

Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.

Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.

Lesson 7: Solve word problems with line plots.