This applet explores several models for representing fractions with adjustable numerators and denominators. You may also download an interactive Excel file.

Version 1: The range of the numerator is limited to values from 0 to 20 and the denominator is limited to benchmark values 1, 2, 4, 5, 8, 10, and 20.

Version 2: The range of the numerator and denominator is limited to values from 0 to 20.

Version 3: The range of the numerator and denominator is limited to values from 0 to 100.