Learn on PengiPengi Math (Grade 5)Chapter 6: Multiplying and Dividing Fractions

Lesson 1: Fractions as Division

In this Grade 5 lesson from Pengi Math Chapter 6, students learn to interpret a fraction a/b as the result of dividing a by b, building a foundational understanding of fractions as division. Using area models, tape diagrams, and number lines, they represent real-world sharing situations and explore the meaning of improper fractions when results are greater than 1. Students also practice determining whether a quotient is less than, equal to, or greater than 1 based on the relationship between the numerator and denominator.

Section 1

Understanding Fractions as Division

Property

A fraction represents division. The fraction ab\frac{a}{b} means "aa divided by bb" or "a÷ba \div b". The numerator (top number) is what we are dividing, and the denominator (bottom number) is what we are dividing by.

Examples

Section 2

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

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Understanding Fractions as Division

Property

A fraction represents division. The fraction ab\frac{a}{b} means "aa divided by bb" or "a÷ba \div b". The numerator (top number) is what we are dividing, and the denominator (bottom number) is what we are dividing by.

Examples

Section 2

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