Learn on PengiEureka Math, Grade 5Chapter 20: Fractions as Division

Lesson 4: Solve word problems involving the division of whole numbers with answers in the form of fractions or whole numbers.

In this Grade 5 Eureka Math lesson from Chapter 20: Fractions as Division, students solve word problems involving the division of whole numbers where quotients are expressed as fractions or mixed numbers. Through tape diagrams and real-world contexts like dividing fabric or ice cream equally, students practice interpreting the whole and the divisor to write answers such as 2/5 or 2/3. Fluency activities reinforce related skills including writing division sentences as fractions and converting improper fractions to mixed numbers.

Section 1

Modeling Division with Tape Diagrams

Property

A tape diagram models a division problem, $a \div b$ , by representing the dividend ( $a$ ) as the total length of a tape.
The tape is then partitioned into $b$ equal units, where $b$ is the divisor.
The value of each unit represents the quotient, $\frac{a}{b}$ .

Examples

Section 2

Assess the Reasonableness of a Fractional Answer

Property

To check if a fractional answer from a division problem $a \div b$ is reasonable, compare the dividend ( $a$ ) and the divisor ( $b$ ):

If $a < b$ , the answer must be less than 1.
If $a > b$ , the answer must be greater than 1.
If $a = b$ , the answer must be exactly 1.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Modeling Division with Tape Diagrams

Property

Examples

Section 2

Assess the Reasonableness of a Fractional Answer

Property

To check if a fractional answer from a division problem $a \div b$ is reasonable, compare the dividend ( $a$ ) and the divisor ( $b$ ):

If $a < b$ , the answer must be less than 1.
If $a > b$ , the answer must be greater than 1.
If $a = b$ , the answer must be exactly 1.