Learn on PengiEureka Math, Grade 4Chapter 27: Repeated Addition of Fractions as Multiplication

Lesson 6: Solve word problems involving the multiplication of a whole number and a fraction including those involving line plots.

In this Grade 4 Eureka Math lesson from Chapter 27, students solve word problems that require multiplying a whole number by a fraction, applying skills such as breaking apart mixed numbers and converting improper fractions. Students also construct and interpret line plots as a context for practicing fraction multiplication. The lesson builds on prior work with equivalent fractions and multiplying mixed numbers to deepen understanding of repeated addition of fractions.

Section 1

Solve Multi-Step Word Problems with Mixed Numbers

Property

To solve multi-step word problems, translate the problem into a mathematical expression and apply the order of operations. Perform multiplication before addition or subtraction.

Examples

Book overview

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Chapter 27: Repeated Addition of Fractions as Multiplication

  1. Lesson 1

    Lesson 1: Represent the multiplication of n times a/b as (n x a)/b using the associative property and visual models.

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  2. Lesson 2

    Lesson 2: Represent the multiplication of n times a/b as (n x a)/b using the associative property and visual models.

    LearnPractice
  3. Lesson 3

    Lesson 3: Find the product of a whole number and a mixed number using the distributive property.

    LearnPractice
  4. Lesson 4

    Lesson 4: Find the product of a whole number and a mixed number using the distributive property.

    LearnPractice
  5. Lesson 5

    Lesson 5: Solve multiplicative comparison word problems involving fractions.

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  6. Lesson 6Current

    Lesson 6: Solve word problems involving the multiplication of a whole number and a fraction including those involving line plots.

    LearnPractice

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Solve Multi-Step Word Problems with Mixed Numbers

Property

To solve multi-step word problems, translate the problem into a mathematical expression and apply the order of operations. Perform multiplication before addition or subtraction.

Examples

Book overview

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

Continue this chapter

Chapter 27: Repeated Addition of Fractions as Multiplication

  1. Lesson 1

    Lesson 1: Represent the multiplication of n times a/b as (n x a)/b using the associative property and visual models.

    LearnPractice
  2. Lesson 2

    Lesson 2: Represent the multiplication of n times a/b as (n x a)/b using the associative property and visual models.

    LearnPractice
  3. Lesson 3

    Lesson 3: Find the product of a whole number and a mixed number using the distributive property.

    LearnPractice
  4. Lesson 4

    Lesson 4: Find the product of a whole number and a mixed number using the distributive property.

    LearnPractice
  5. Lesson 5

    Lesson 5: Solve multiplicative comparison word problems involving fractions.

    LearnPractice
  6. Lesson 6Current

    Lesson 6: Solve word problems involving the multiplication of a whole number and a fraction including those involving line plots.

    LearnPractice