Learn on PengiEureka Math, Grade 5Chapter 17: Making Like Units Numerically

Lesson 3: Add fractions with sums greater than 2.

In this Grade 5 Eureka Math lesson from Chapter 17, students learn to add mixed numbers and fractions with unlike denominators to produce sums greater than 2, applying the commutative and associative properties to decompose and regroup whole number and fractional parts separately. Students practice finding common denominators and renaming fractions as equivalent units before combining them to reach a final sum. The lesson builds directly on prior skills of adding unlike fractions with sums between 1 and 2.

Section 1

Estimating Sums of Mixed Numbers

Property

To estimate the sum of mixed numbers, first add the whole numbers. Then, analyze the fractional parts to determine if their sum is greater than 1.
If the sum of the fractions is greater than 1, the estimated sum will be at least 1 more than the sum of the whole numbers.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Estimating Sums of Mixed Numbers

Property

To estimate the sum of mixed numbers, first add the whole numbers. Then, analyze the fractional parts to determine if their sum is greater than 1.
If the sum of the fractions is greater than 1, the estimated sum will be at least 1 more than the sum of the whole numbers.

Examples