Learn on PengiEureka Math, Grade 5Chapter 25: Division of Fractions and Decimal Fractions

Lesson 6: Divide decimal dividends by non-unit decimal divisors.

In this Grade 5 Eureka Math lesson, students learn to divide decimal dividends by non-unit decimal divisors, such as 2.4 ÷ 0.2 or 2.4 ÷ 0.4, by rewriting division expressions as fractions and multiplying by a form of 1 to eliminate decimal denominators. The lesson builds on students' understanding that multiplying or dividing both the dividend and divisor by the same factor preserves the quotient. This is Lesson 6 of Chapter 25, Division of Fractions and Decimal Fractions, in the Grade 5 Eureka Math curriculum.

Section 1

Create an Equivalent Division Problem with a Whole Number Divisor

Property

A division expression can be rewritten as a fraction and then multiplied by a form of 1 (such as 1010\frac{10}{10} or 100100\frac{100}{100}) to create an equivalent division problem with a whole number divisor.

a÷b=ab=a×nb×na \div b = \frac{a}{b} = \frac{a \times n}{b \times n}

Examples

Book overview

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Chapter 25: Division of Fractions and Decimal Fractions

  1. Lesson 1

    Lesson 1: Divide a whole number by a unit fraction.

  2. Lesson 2

    Lesson 2: Divide a unit fraction by a whole number.

  3. Lesson 3

    Lesson 3: Solve problems involving fraction division.

  4. Lesson 4

    Lesson 4: Write equations and word problems corresponding to tape and number line diagrams.

  5. Lesson 5

    Lesson 5: Connect division by a unit fraction to division by 1 tenth and 1 hundredth.

  6. Lesson 6Current

    Lesson 6: Divide decimal dividends by non-unit decimal divisors.

  7. Lesson 7

    Lesson 7: Divide decimal dividends by non-unit decimal divisors.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Create an Equivalent Division Problem with a Whole Number Divisor

Property

A division expression can be rewritten as a fraction and then multiplied by a form of 1 (such as 1010\frac{10}{10} or 100100\frac{100}{100}) to create an equivalent division problem with a whole number divisor.

a÷b=ab=a×nb×na \div b = \frac{a}{b} = \frac{a \times n}{b \times n}

Examples

Book overview

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

Continue this chapter

Chapter 25: Division of Fractions and Decimal Fractions

  1. Lesson 1

    Lesson 1: Divide a whole number by a unit fraction.

  2. Lesson 2

    Lesson 2: Divide a unit fraction by a whole number.

  3. Lesson 3

    Lesson 3: Solve problems involving fraction division.

  4. Lesson 4

    Lesson 4: Write equations and word problems corresponding to tape and number line diagrams.

  5. Lesson 5

    Lesson 5: Connect division by a unit fraction to division by 1 tenth and 1 hundredth.

  6. Lesson 6Current

    Lesson 6: Divide decimal dividends by non-unit decimal divisors.

  7. Lesson 7

    Lesson 7: Divide decimal dividends by non-unit decimal divisors.