In this talk, we investigate the representations of rational numbers via continued fractions, Egyptian fractions, and Engel fractions. For each integer $m$, let $C_m, E_m, E_m^*$ denote the sets of rationals whose continued fraction, Egyptian fraction, and Engel fraction expansions have length $m$, respectively. Let $H_m$ be the set of Gaussian rationals with Hurwitz continued fraction expansions of length $m$. We compute the Minkowski dimensions of these sets, showing that they exhibit distinct global scaling properties. We further determine their Minkowski contents and apply our results to sumsets of decreasing sequences.