Decomposing Fractions: Using Visual Models and Equations

This lesson teaches how fractions with numerators greater than one can be decomposed into a sum of fractions with common denominators. Using visual fraction models and equations, students learn that fractions represent parts of a whole, a set, or a value on a number line. The lesson explains the roles of numerators and denominators and demonstrates how to decompose fractions like 3/8 and 5/6 into sums of smaller fractions. Visual models are used to reinforce the concept that fractions can be broken down into smaller parts, and the lesson concludes with a summary of these ideas.

What is the role of the numerator in a fraction?

Explain how the fraction 3/8 can be decomposed into smaller fractions.

Describe the visual model used to represent the fraction 5/6.

How can you express the fraction 5/6 as a sum of smaller fractions?

What did you learn about decomposing fractions in this lesson?