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÷ba \div b, by representing the dividend (aa) as the total length of a tape.
The tape is then partitioned into bb equal units, where bb is the divisor.
The value of each unit represents the quotient, ab\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÷ba \div b is reasonable, compare the dividend (aa) and the divisor (bb):

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

Examples

Book overview

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Chapter 20: Fractions as Division

  1. Lesson 1

    Lesson 1: Interpret a fraction as division.

  2. Lesson 2

    Lesson 2: Interpret a fraction as division.

  3. Lesson 3

    Lesson 3: Use tape diagrams to model fractions as division.

  4. Lesson 4Current

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

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Modeling Division with Tape Diagrams

Property

A tape diagram models a division problem, a÷ba \div b, by representing the dividend (aa) as the total length of a tape.
The tape is then partitioned into bb equal units, where bb is the divisor.
The value of each unit represents the quotient, ab\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÷ba \div b is reasonable, compare the dividend (aa) and the divisor (bb):

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

Examples

Book overview

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

Continue this chapter

Chapter 20: Fractions as Division

  1. Lesson 1

    Lesson 1: Interpret a fraction as division.

  2. Lesson 2

    Lesson 2: Interpret a fraction as division.

  3. Lesson 3

    Lesson 3: Use tape diagrams to model fractions as division.

  4. Lesson 4Current

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