Learn on PengienVision, Mathematics, Grade 5Chapter 9: Apply Understanding of Division to Divide Fractions

Lesson 1: Fractions and Division

In this Grade 5 lesson from enVision Mathematics, students explore the relationship between fractions and division, learning that a fraction a/b is equivalent to the division expression a ÷ b. Using real-world sharing scenarios, students practice converting between fractions and division expressions and determining what fractional amount each person receives when a quantity is divided equally. This lesson builds the conceptual foundation for Chapter 9's focus on dividing fractions.

Section 1

Writing Division as a Fraction

Property

A division problem can be written as a fraction, where the dividend is the numerator and the divisor is the denominator.

a÷b=aba \div b = \frac{a}{b}

Examples

Section 2

Representing Division as a Fraction

Property

To model the division a÷ba \div b, you can partition aa wholes into bb equal shares.
The size of each share is the fraction ab\frac{a}{b}.

Examples

Book overview

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Chapter 9: Apply Understanding of Division to Divide Fractions

  1. Lesson 1Current

    Lesson 1: Fractions and Division

  2. Lesson 2

    Lesson 2: Fractions and Mixed Numbers as Quotients

  3. Lesson 3

    Lesson 3: Use Multiplication to Divide

  4. Lesson 4

    Lesson 4: Divide Whole Numbers by Unit Fractions

  5. Lesson 5

    Lesson 5: Divide Unit Fractions by Non-Zero Whole Numbers

  6. Lesson 6

    Lesson 6: Divide Whole Numbers and Unit Fractions

  7. Lesson 7

    Lesson 7: Solve Problems Using Division

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Writing Division as a Fraction

Property

A division problem can be written as a fraction, where the dividend is the numerator and the divisor is the denominator.

a÷b=aba \div b = \frac{a}{b}

Examples

Section 2

Representing Division as a Fraction

Property

To model the division a÷ba \div b, you can partition aa wholes into bb equal shares.
The size of each share is the fraction ab\frac{a}{b}.

Examples

Book overview

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

Continue this chapter

Chapter 9: Apply Understanding of Division to Divide Fractions

  1. Lesson 1Current

    Lesson 1: Fractions and Division

  2. Lesson 2

    Lesson 2: Fractions and Mixed Numbers as Quotients

  3. Lesson 3

    Lesson 3: Use Multiplication to Divide

  4. Lesson 4

    Lesson 4: Divide Whole Numbers by Unit Fractions

  5. Lesson 5

    Lesson 5: Divide Unit Fractions by Non-Zero Whole Numbers

  6. Lesson 6

    Lesson 6: Divide Whole Numbers and Unit Fractions

  7. Lesson 7

    Lesson 7: Solve Problems Using Division