use the terms “congruent” and “incongruent” for fraction comparison problems in a different way. Their definition of congruency implies conceptual knowledge that the larger the denominator, the smaller the value of the fraction. Fraction pairs are congruent when componential comparison of the numerators leads to the same result as the componential comparison of the denominators (such as 3/5 vs. 2/8 because the larger fraction e 3/5 e is composed of the large numerator and the smaller denominator, both hinting to a larger fraction). On incongruent fractions, componential comparisons lead to opposite results (such as 2/5 vs. 3/8).