Learn on PengienVision, Mathematics, Grade 4Chapter 10: Extend Multiplication Concepts to Fractions

Lesson 1: Fractions as Multiples of Unit Fractions

Property.

Section 1

Decomposing a Fraction into a Sum of Unit Fractions

Property

A fraction ab\frac{a}{b} can be expressed as the sum of its unit fractions, 1b\frac{1}{b}, added 'a' times.
This can also be written as the product of the numerator 'a' and the unit fraction 1b\frac{1}{b}.

ab=1b+1b+⋯+1b⏟a times=a×1b\frac{a}{b} = \underbrace{\frac{1}{b} + \frac{1}{b} + \dots + \frac{1}{b}}_{\text{a times}} = a \times \frac{1}{b}

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Chapter 10: Extend Multiplication Concepts to Fractions

  1. Lesson 1Current

    Lesson 1: Fractions as Multiples of Unit Fractions

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  2. Lesson 2

    Lesson 2: Multiply a Fraction by a Whole Number: Use Models

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  3. Lesson 3

    Lesson 3: Multiply a Fraction by a Whole Number: Use Symbols

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  4. Lesson 4

    Lesson 4: Solve Time Problems

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Lesson overview

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Section 1

Decomposing a Fraction into a Sum of Unit Fractions

Property

A fraction ab\frac{a}{b} can be expressed as the sum of its unit fractions, 1b\frac{1}{b}, added 'a' times.
This can also be written as the product of the numerator 'a' and the unit fraction 1b\frac{1}{b}.

ab=1b+1b+⋯+1b⏟a times=a×1b\frac{a}{b} = \underbrace{\frac{1}{b} + \frac{1}{b} + \dots + \frac{1}{b}}_{\text{a times}} = a \times \frac{1}{b}

Examples

Book overview

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

Continue this chapter

Chapter 10: Extend Multiplication Concepts to Fractions

  1. Lesson 1Current

    Lesson 1: Fractions as Multiples of Unit Fractions

    LearnPractice
  2. Lesson 2

    Lesson 2: Multiply a Fraction by a Whole Number: Use Models

    LearnPractice
  3. Lesson 3

    Lesson 3: Multiply a Fraction by a Whole Number: Use Symbols

    LearnPractice
  4. Lesson 4

    Lesson 4: Solve Time Problems

    LearnPractice