In this Grade 4 Eureka Math lesson from Chapter 22, students learn how to simplify fractions and show equivalence by dividing both the numerator and denominator by the same number, a process called composing larger fractional units. Using area models, students visually group smaller units into larger ones to understand why fractions like 6/12 and 1/2 represent the same value. The lesson builds on prior work with multiplication-based equivalence and connects fraction concepts to real-world measurement contexts such as inches and feet.
Section 1
Connect Grouping in Area Models to Division
Composing larger fractional units by grouping smaller units in an area model is equivalent to dividing both the numerator and the denominator by .
This process of finding an equivalent fraction with a smaller numerator and denominator is called simplifying, composing, or renaming.
Section 2
Simplifying Different Fractions to a Common Fraction
Different fractions can be equivalent to each other if they simplify to the same fraction.
To check, simplify each fraction by dividing its numerator and denominator by a common factor until it is in its simplest form.
If the simplified forms are identical, the original fractions are equivalent.
Expand to review the lesson summary and core properties.
Section 1
Connect Grouping in Area Models to Division
Composing larger fractional units by grouping smaller units in an area model is equivalent to dividing both the numerator and the denominator by .
This process of finding an equivalent fraction with a smaller numerator and denominator is called simplifying, composing, or renaming.
Section 2
Simplifying Different Fractions to a Common Fraction
Different fractions can be equivalent to each other if they simplify to the same fraction.
To check, simplify each fraction by dividing its numerator and denominator by a common factor until it is in its simplest form.
If the simplified forms are identical, the original fractions are equivalent.