Learn on PengiEureka Math, Grade 4Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.

In this Grade 4 Eureka Math lesson from Chapter 25, students learn to compare fractions greater than 1 by creating common numerators or common denominators. Using tape diagrams and area models, students apply equivalent fraction strategies to compare mixed numbers and improper fractions such as 3 3/8 and 3 3/4. The lesson builds directly on prior work converting between mixed numbers and fractions, reinforcing fraction equivalence in a comparison context.

Section 1

Comparing Mixed Numbers by Finding Common Denominators

Property

To compare two mixed numbers, first compare their whole number parts.
If the whole numbers are equal, then compare their fractional parts by finding a common denominator.
The mixed number with the larger fractional part is the greater number.

Examples

Section 2

Compare Improper Fractions with Common Numerators

Property

To compare two improper fractions, create equivalent fractions with a common numerator.
When the numerators are the same, the fraction with the smaller denominator is greater because it is made of larger pieces.

Examples

Section 3

Strategically Comparing Fractions Greater Than 1

Property

To efficiently compare two fractions greater than 1, first analyze the numbers to select the best strategy:

  1. Compare Whole Numbers: If using mixed numbers, check the whole number parts first.
  2. Use Common Numerators: If the numerators are the same, compare the denominators. The smaller denominator means larger pieces.
  3. Use Common Denominators: If the denominators are related (e.g., one is a multiple of the other), create like units to compare.
  4. Convert and Compare: Convert one or both numbers (e.g., improper to mixed) to make the comparison simpler.

Examples

Book overview

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Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

  1. Lesson 1

    Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.

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  2. Lesson 2

    Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.

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  3. Lesson 3

    Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.

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  4. Lesson 4

    Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

    LearnPractice
  5. Lesson 5

    Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.

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  6. Lesson 6Current

    Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.

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  7. Lesson 7

    Lesson 7: Solve word problems with line plots.

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Lesson overview

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Section 1

Comparing Mixed Numbers by Finding Common Denominators

Property

To compare two mixed numbers, first compare their whole number parts.
If the whole numbers are equal, then compare their fractional parts by finding a common denominator.
The mixed number with the larger fractional part is the greater number.

Examples

Section 2

Compare Improper Fractions with Common Numerators

Property

To compare two improper fractions, create equivalent fractions with a common numerator.
When the numerators are the same, the fraction with the smaller denominator is greater because it is made of larger pieces.

Examples

Section 3

Strategically Comparing Fractions Greater Than 1

Property

To efficiently compare two fractions greater than 1, first analyze the numbers to select the best strategy:

  1. Compare Whole Numbers: If using mixed numbers, check the whole number parts first.
  2. Use Common Numerators: If the numerators are the same, compare the denominators. The smaller denominator means larger pieces.
  3. Use Common Denominators: If the denominators are related (e.g., one is a multiple of the other), create like units to compare.
  4. Convert and Compare: Convert one or both numbers (e.g., improper to mixed) to make the comparison simpler.

Examples

Book overview

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

Continue this chapter

Chapter 25: Extending Fraction Equivalence to Fractions Greater Than 1

  1. Lesson 1

    Lesson 1: Add a fraction less than 1 to, or subtract a fraction less than 1 from, a whole number using decomposition and visual models.

    LearnPractice
  2. Lesson 2

    Lesson 2: Add and multiply unit fractions to build fractions greater than 1 using visual models.

    LearnPractice
  3. Lesson 3

    Lesson 3: Decompose and compose fractions greater than 1 to express them in various forms.

    LearnPractice
  4. Lesson 4

    Lesson 4: Decompose and compose fractions greater than 1 to express them in various forms.

    LearnPractice
  5. Lesson 5

    Lesson 5: Compare fractions greater than 1 by reasoning using benchmark fractions.

    LearnPractice
  6. Lesson 6Current

    Lesson 6: Compare fractions greater than 1 by creating common numerators or denominators.

    LearnPractice
  7. Lesson 7

    Lesson 7: Solve word problems with line plots.

    LearnPractice