Learn on PengiEureka Math, Grade 5Chapter 17: Making Like Units Numerically

Lesson 3: Add fractions with sums greater than 2.

In this Grade 5 Eureka Math lesson from Chapter 17, students learn to add mixed numbers and fractions with unlike denominators to produce sums greater than 2, applying the commutative and associative properties to decompose and regroup whole number and fractional parts separately. Students practice finding common denominators and renaming fractions as equivalent units before combining them to reach a final sum. The lesson builds directly on prior skills of adding unlike fractions with sums between 1 and 2.

Section 1

Estimating Sums of Mixed Numbers

Property

To estimate the sum of mixed numbers, first add the whole numbers. Then, analyze the fractional parts to determine if their sum is greater than 1.
If the sum of the fractions is greater than 1, the estimated sum will be at least 1 more than the sum of the whole numbers.

Examples

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Chapter 17: Making Like Units Numerically

  1. Lesson 1

    Lesson 1: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies.

  2. Lesson 2

    Lesson 2: Add fractions making like units numerically.

  3. Lesson 3Current

    Lesson 3: Add fractions with sums greater than 2.

  4. Lesson 4

    Lesson 4: Subtract fractions with unlike units using the strategy of creating equivalent fractions.

  5. Lesson 5

    Lesson 5: Subtract fractions greater than or equal to 1.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Estimating Sums of Mixed Numbers

Property

To estimate the sum of mixed numbers, first add the whole numbers. Then, analyze the fractional parts to determine if their sum is greater than 1.
If the sum of the fractions is greater than 1, the estimated sum will be at least 1 more than the sum of the whole numbers.

Examples

Book overview

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

Continue this chapter

Chapter 17: Making Like Units Numerically

  1. Lesson 1

    Lesson 1: Add fractions to and subtract fractions from whole numbers using equivalence and the number line as strategies.

  2. Lesson 2

    Lesson 2: Add fractions making like units numerically.

  3. Lesson 3Current

    Lesson 3: Add fractions with sums greater than 2.

  4. Lesson 4

    Lesson 4: Subtract fractions with unlike units using the strategy of creating equivalent fractions.

  5. Lesson 5

    Lesson 5: Subtract fractions greater than or equal to 1.