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

Lesson 5: Solve multiplicative comparison word problems involving fractions.

In this Grade 4 Eureka Math lesson from Chapter 27, students learn to solve multiplicative comparison word problems involving fractions and mixed numbers, applying the distributive property to multiply a whole number by a mixed number. Using tape diagrams and equations, students work through multi-step problems that require comparing quantities expressed as fractions, such as finding how many times as far, tall, or long one measurement is compared to another. The lesson builds on prior fluency with multiplying whole numbers times fractions and mixed numbers to develop flexible problem-solving strategies.

Section 1

Solving Multi-Step Fraction Word Problems

Property

To solve multi-step word problems, break the problem down into a sequence of smaller, single-operation calculations. Identify the necessary operations (addition, subtraction, multiplication) and the order in which to perform them to reach the final answer. This often involves using the result of one calculation as a value in the next.

Examples

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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.

  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.

  3. Lesson 3

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

  4. Lesson 4

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

  5. Lesson 5Current

    Lesson 5: Solve multiplicative comparison word problems involving fractions.

  6. Lesson 6

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

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Solving Multi-Step Fraction Word Problems

Property

To solve multi-step word problems, break the problem down into a sequence of smaller, single-operation calculations. Identify the necessary operations (addition, subtraction, multiplication) and the order in which to perform them to reach the final answer. This often involves using the result of one calculation as a value in the next.

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.

  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.

  3. Lesson 3

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

  4. Lesson 4

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

  5. Lesson 5Current

    Lesson 5: Solve multiplicative comparison word problems involving fractions.

  6. Lesson 6

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