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 $\frac{10}{10}$ or $\frac{100}{100}$ ) to create an equivalent division problem with a whole number divisor.

a \div b = \frac{a}{b} = \frac{a \times n}{b \times n}

Examples

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Create an Equivalent Division Problem with a Whole Number Divisor

Property

a \div b = \frac{a}{b} = \frac{a \times n}{b \times n}