Learn on PengiEureka Math, Grade 5Chapter 16: Making Like Units Pictorially

Lesson 5: Solve two-step word problems.

In this Grade 5 Eureka Math lesson from Chapter 16, students solve two-step word problems by adding and subtracting fractions with unlike denominators, using tape diagrams and area models to find unknown parts of a whole. Students practice finding common denominators and applying two different solution strategies to problems involving real-world contexts like sharing work and spending money. The lesson builds fluency with equivalent fractions and reinforces how fraction operations connect to visual representations.

Section 1

Multi-Step Problems with Mixed Numbers and Fractions

Property

To solve multi-step word problems involving both mixed numbers and fractions, you can use one of two main strategies:

  1. Convert to Improper Fractions: Change all mixed numbers into improper fractions, find a common denominator, then perform the required addition and subtraction.
  2. Operate on Parts: Add or subtract the whole numbers and the fractional parts separately. You may need to regroup (borrow from a whole number) when subtracting a larger fraction from a smaller one.

Examples

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Chapter 16: Making Like Units Pictorially

  1. Lesson 1

    Lesson 1: Add fractions with unlike units using the strategy of creating equivalent fractions.

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  2. Lesson 2

    Lesson 2: Add fractions with sums between 1 and 2.

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  3. Lesson 3

    Lesson 3: Subtract fractions with unlike units using the strategy of creating equivalent fractions.

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  4. Lesson 4

    Lesson 4: Subtract fractions from numbers between 1 and 2.

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  5. Lesson 5Current

    Lesson 5: Solve two-step word problems.

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Lesson overview

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Section 1

Multi-Step Problems with Mixed Numbers and Fractions

Property

To solve multi-step word problems involving both mixed numbers and fractions, you can use one of two main strategies:

  1. Convert to Improper Fractions: Change all mixed numbers into improper fractions, find a common denominator, then perform the required addition and subtraction.
  2. Operate on Parts: Add or subtract the whole numbers and the fractional parts separately. You may need to regroup (borrow from a whole number) when subtracting a larger fraction from a smaller one.

Examples

Book overview

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

Continue this chapter

Chapter 16: Making Like Units Pictorially

  1. Lesson 1

    Lesson 1: Add fractions with unlike units using the strategy of creating equivalent fractions.

    LearnPractice
  2. Lesson 2

    Lesson 2: Add fractions with sums between 1 and 2.

    LearnPractice
  3. Lesson 3

    Lesson 3: Subtract fractions with unlike units using the strategy of creating equivalent fractions.

    LearnPractice
  4. Lesson 4

    Lesson 4: Subtract fractions from numbers between 1 and 2.

    LearnPractice
  5. Lesson 5Current

    Lesson 5: Solve two-step word problems.

    LearnPractice