Learn on PengiEureka Math, Grade 4Chapter 24: Fraction Addition and Subtraction

Lesson 1: Use visual models to add and subtract two fractions with the same units.

In this Grade 4 Eureka Math lesson from Chapter 24, students use visual models such as area models and number lines to add and subtract two fractions with the same units, building on their understanding of equivalent fractions and common denominators. Students practice counting by equivalent fractions, comparing fractions using area models, and applying fraction operations to real-world problems.

Section 1

Adding and Subtracting Fractions with Like Units

Property

To add or subtract fractions with the same denominator (like units), add or subtract the numerators and keep the denominator the same.

ac+bc=a+bc\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}
acbc=abc\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}

Examples

Section 2

Adding or Subtracting Fractions with Like Denominators on a Number Line

Property

To add or subtract fractions with like units on a number line, first partition the line according to the denominator.
For addition, start at the first fraction and move to the right (forward).
For subtraction, start at the first fraction and move to the left (backward).

Examples

Section 3

Subtracting Fractions from Mixed Numbers

Property

To subtract a fraction from a mixed number with the same denominator, first convert the mixed number into an improper fraction.
Then, subtract the numerators.

Abcdc=(A×c)+bcdc=((A×c)+b)dcA \frac{b}{c} - \frac{d}{c} = \frac{(A \times c) + b}{c} - \frac{d}{c} = \frac{((A \times c) + b) - d}{c}

Examples

Book overview

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Chapter 24: Fraction Addition and Subtraction

  1. Lesson 1Current

    Lesson 1: Use visual models to add and subtract two fractions with the same units.

  2. Lesson 2

    Lesson 2: Use visual models to add and subtract two fractions with the same units, including subtracting from one whole.

  3. Lesson 3

    Lesson 3: Add and subtract more than two fractions.

  4. Lesson 4

    Lesson 4: Solve word problems involving addition and subtraction of fractions.

  5. Lesson 5

    Lesson 5: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.

  6. Lesson 6

    Lesson 6: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Adding and Subtracting Fractions with Like Units

Property

To add or subtract fractions with the same denominator (like units), add or subtract the numerators and keep the denominator the same.

ac+bc=a+bc\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}
acbc=abc\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}

Examples

Section 2

Adding or Subtracting Fractions with Like Denominators on a Number Line

Property

To add or subtract fractions with like units on a number line, first partition the line according to the denominator.
For addition, start at the first fraction and move to the right (forward).
For subtraction, start at the first fraction and move to the left (backward).

Examples

Section 3

Subtracting Fractions from Mixed Numbers

Property

To subtract a fraction from a mixed number with the same denominator, first convert the mixed number into an improper fraction.
Then, subtract the numerators.

Abcdc=(A×c)+bcdc=((A×c)+b)dcA \frac{b}{c} - \frac{d}{c} = \frac{(A \times c) + b}{c} - \frac{d}{c} = \frac{((A \times c) + b) - d}{c}

Examples

Book overview

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

Continue this chapter

Chapter 24: Fraction Addition and Subtraction

  1. Lesson 1Current

    Lesson 1: Use visual models to add and subtract two fractions with the same units.

  2. Lesson 2

    Lesson 2: Use visual models to add and subtract two fractions with the same units, including subtracting from one whole.

  3. Lesson 3

    Lesson 3: Add and subtract more than two fractions.

  4. Lesson 4

    Lesson 4: Solve word problems involving addition and subtraction of fractions.

  5. Lesson 5

    Lesson 5: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.

  6. Lesson 6

    Lesson 6: Use visual models to add two fractions with related units using the denominators 2, 3, 4, 5, 6, 8, 10, and 12.