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

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}