In this Grade 4 Eureka Math lesson, students use area models and division to show that two fractions are equivalent, building on their understanding of numerators and denominators. They practice composing shaded units into larger units and applying division to both the numerator and denominator to simplify fractions such as 2/4 = 1/2 and 3/12 = 1/4. The lesson connects fraction equivalence to real-world contexts like money, helping students see why certain equivalent forms are more practical.
Section 1
Simplify Fractions Using Area Models and Division
To simplify a fraction, you can divide both the numerator and the denominator by the same common factor, .
This process is called composing units and can be visualized by grouping smaller units in an area model into larger, equivalent units.
The number of smaller units in each new group corresponds to the common factor .
Section 2
Simplifying to the Largest Units (Simplest Form)
To simplify a fraction to its simplest form (creating the largest possible fractional units), divide the numerator and denominator by their greatest common factor (GCF).
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Section 1
Simplify Fractions Using Area Models and Division
To simplify a fraction, you can divide both the numerator and the denominator by the same common factor, .
This process is called composing units and can be visualized by grouping smaller units in an area model into larger, equivalent units.
The number of smaller units in each new group corresponds to the common factor .
Section 2
Simplifying to the Largest Units (Simplest Form)
To simplify a fraction to its simplest form (creating the largest possible fractional units), divide the numerator and denominator by their greatest common factor (GCF).
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter