Comparing Fractions via LCM and Visual Models

This example demonstrates how to compare two fractions by first converting them to a common denominator using LCM, then visually validating the comparison with constructed geometric representations. Key concepts include equivalent fractions, least common multiple (LCM) to unify denominators, comparing numerators after scaling, and structuring intermediate values with sequences and lists. Construction is driven by GeoGebra commands and objects from the build: LCM and Sequence generate the needed scaling factors; Element extracts the specific values from list structures (e.g., list1–list7) such as den1/num1 and den2/num2 components; Segment and Polygon create measurable geometric parts, and Polygon objects (poly1, Poly2) assemble the visual comparison model. The activity is intended for classroom use or self-study for middle and high school learners studying fractions and algebra, especially when teachers want a concrete visualization to support the “common denominator + numerator comparison” method.