Adding Rational Numbers: Random Denominators and Numerators

This GeoGebra example dynamically demonstrates the addition of rational numbers by generating two fractions with random numerators and denominators, then visually showing their sum. The core mathematical concept is rational number addition, including finding common denominators, least common multiples, and simplifying fractions. The construction uses the Random command to generate denominator1, denominator2, numerator1, and numerator2, and sets axisDimensions to adjust the coordinate axes for clear display of the fractions and their sum on a number line. It is suitable for middle school students learning rational number operations, and also useful for teachers in classroom demonstrations to illustrate the geometric meaning and procedural rules of fraction addition.