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:

Convert to Improper Fractions: Change all mixed numbers into improper fractions, find a common denominator, then perform the required addition and subtraction.
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

Lesson overview

Expand to review the lesson summary and core properties.

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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:

Convert to Improper Fractions: Change all mixed numbers into improper fractions, find a common denominator, then perform the required addition and subtraction.
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.