Learn on PengiPengi Math (Grade 5)Chapter 5: Add & Subtract Fractions and Mixed Numbers

Lesson 3: Add & Subtract Fractions with Unlike Denominators

In this Grade 5 Pengi Math lesson, students learn how to add and subtract fractions with unlike denominators by rewriting them with a common denominator before solving. The lesson also covers simplifying results and converting improper fractions when necessary. Students practice identifying and correcting common errors in fraction addition as part of Chapter 5 on adding and subtracting fractions and mixed numbers.

Section 1

Adding Fractions with Unlike Denominators

Property

To add fractions with unlike denominators, convert them to equivalent fractions with a common denominator, then add the numerators. A common denominator can be found by multiplying the two denominators.

ab+cd=ad+cbbd\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd}

Examples

Section 2

Subtracting Fractions with Unlike Denominators

Property

To subtract fractions with unlike denominators, find a common denominator and convert each fraction to an equivalent fraction with that denominator.
Then, subtract the numerators.

abcd=adbdcbbd=adcbbd\frac{a}{b} - \frac{c}{d} = \frac{ad}{bd} - \frac{cb}{bd} = \frac{ad - cb}{bd}

Examples

Book overview

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Chapter 5: Add & Subtract Fractions and Mixed Numbers

  1. Lesson 1

    Lesson 1: Estimate Fraction Sums and Differences

  2. Lesson 2

    Lesson 2: Finding Equivalent Fractions Using a Common Denominator

  3. Lesson 3Current

    Lesson 3: Add & Subtract Fractions with Unlike Denominators

  4. Lesson 4

    Lesson 4: Add Mixed Numbers with Unlike Denominators

  5. Lesson 5

    Lesson 5: Subtract Mixed Numbers with Unlike Denominators

  6. Lesson 6

    Lesson 6: Solve Multi-step Fraction Problems

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Adding Fractions with Unlike Denominators

Property

To add fractions with unlike denominators, convert them to equivalent fractions with a common denominator, then add the numerators. A common denominator can be found by multiplying the two denominators.

ab+cd=ad+cbbd\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd}

Examples

Section 2

Subtracting Fractions with Unlike Denominators

Property

To subtract fractions with unlike denominators, find a common denominator and convert each fraction to an equivalent fraction with that denominator.
Then, subtract the numerators.

abcd=adbdcbbd=adcbbd\frac{a}{b} - \frac{c}{d} = \frac{ad}{bd} - \frac{cb}{bd} = \frac{ad - cb}{bd}

Examples

Book overview

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

Continue this chapter

Chapter 5: Add & Subtract Fractions and Mixed Numbers

  1. Lesson 1

    Lesson 1: Estimate Fraction Sums and Differences

  2. Lesson 2

    Lesson 2: Finding Equivalent Fractions Using a Common Denominator

  3. Lesson 3Current

    Lesson 3: Add & Subtract Fractions with Unlike Denominators

  4. Lesson 4

    Lesson 4: Add Mixed Numbers with Unlike Denominators

  5. Lesson 5

    Lesson 5: Subtract Mixed Numbers with Unlike Denominators

  6. Lesson 6

    Lesson 6: Solve Multi-step Fraction Problems