Learn on PengienVision, Mathematics, Grade 5Chapter 7: Use Equivalent Fractions to Add and Subtract Fractions

Lesson 4: Subtract Fractions with Unlike Denominators

In this Grade 5 lesson from enVision Mathematics Chapter 7, students learn how to subtract fractions with unlike denominators by finding a common multiple, renaming fractions as equivalent fractions with a common denominator, and then subtracting the numerators. The lesson uses the Identity Property to rewrite fractions such as 2/3 and 1/4 as equivalent fractions with a denominator of 12 before subtracting. Practice problems progress from guided examples to independent and real-world problem-solving applications.

Section 1

Subtracting Fractions by Rewriting with Common Denominators

Property

To subtract fractions with unlike denominators, they must first be rewritten as equivalent fractions with a common denominator.
Once the fractions have like denominators, subtract the numerators and keep the denominator the same.

acbc=abc\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}

Examples

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Chapter 7: Use Equivalent Fractions to Add and Subtract Fractions

  1. Lesson 1

    Lesson 1: Estimate Sums and Differences of Fractions

  2. Lesson 2

    Lesson 2: Find Common Denominators

  3. Lesson 3

    Lesson 3: Add Fractions with Unlike Denominators

  4. Lesson 4Current

    Lesson 4: Subtract Fractions with Unlike Denominators

  5. Lesson 5

    Lesson 5: Add and Subtract Fractions

  6. Lesson 6

    Lesson 6: Estimate Sums and Differences of Mixed Numbers

  7. Lesson 7

    Lesson 7: Use Models to Add Mixed Numbers

  8. Lesson 8

    Lesson 8: Add Mixed Numbers

  9. Lesson 9

    Lesson 9: Use Models to Subtract Mixed Numbers

  10. Lesson 10

    Lesson 10: Subtract Mixed Numbers

  11. Lesson 11

    Lesson 11: Add and Subtract Mixed Numbers

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Subtracting Fractions by Rewriting with Common Denominators

Property

To subtract fractions with unlike denominators, they must first be rewritten as equivalent fractions with a common denominator.
Once the fractions have like denominators, subtract the numerators and keep the denominator the same.

acbc=abc\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}

Examples

Book overview

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

Continue this chapter

Chapter 7: Use Equivalent Fractions to Add and Subtract Fractions

  1. Lesson 1

    Lesson 1: Estimate Sums and Differences of Fractions

  2. Lesson 2

    Lesson 2: Find Common Denominators

  3. Lesson 3

    Lesson 3: Add Fractions with Unlike Denominators

  4. Lesson 4Current

    Lesson 4: Subtract Fractions with Unlike Denominators

  5. Lesson 5

    Lesson 5: Add and Subtract Fractions

  6. Lesson 6

    Lesson 6: Estimate Sums and Differences of Mixed Numbers

  7. Lesson 7

    Lesson 7: Use Models to Add Mixed Numbers

  8. Lesson 8

    Lesson 8: Add Mixed Numbers

  9. Lesson 9

    Lesson 9: Use Models to Subtract Mixed Numbers

  10. Lesson 10

    Lesson 10: Subtract Mixed Numbers

  11. Lesson 11

    Lesson 11: Add and Subtract Mixed Numbers