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

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

In this Grade 4 Eureka Math lesson (Chapter 24, Lesson 4), students apply addition and subtraction of fractions to solve real-world word problems using the Read-Draw-Write (RDW) process. Students practice working with like denominators, equivalent fractions, and mixed numbers in contextual situations such as measuring distances and everyday scenarios. Fluency with fraction operations is reinforced through counting by equivalent fractions and multi-step addition and subtraction exercises.

Section 1

Apply the RDW Process to Fraction Word Problems

Property

The RDW (Read, Draw, Write) process is a strategy for solving word problems:

  1. Read the problem to understand the question and identify the knowns and unknowns.
  2. Draw a model, such as a tape diagram, to visualize the relationship between the fractions.
  3. Write a number sentence (equation) to solve the problem and a word sentence to state the final answer.

Examples

Section 2

Adding Fractions in Word Problems and Converting Sums

Property

To add fractions with like denominators in a word problem, add the numerators and keep the denominator the same: ac+bc=a+bc\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}.
If the resulting sum is an improper fraction (a+b≥ca+b \geq c), convert it to a mixed number to state the final answer.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Apply the RDW Process to Fraction Word Problems

Property

The RDW (Read, Draw, Write) process is a strategy for solving word problems:

  1. Read the problem to understand the question and identify the knowns and unknowns.
  2. Draw a model, such as a tape diagram, to visualize the relationship between the fractions.
  3. Write a number sentence (equation) to solve the problem and a word sentence to state the final answer.

Examples

Section 2

Adding Fractions in Word Problems and Converting Sums

Property

To add fractions with like denominators in a word problem, add the numerators and keep the denominator the same: ac+bc=a+bc\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}.
If the resulting sum is an improper fraction (a+b≥ca+b \geq c), convert it to a mixed number to state the final answer.

Examples