$\displaystyle{2}\frac{{3}}{{5}}=\frac{{13}}{{5}}\usepackage{cmbright}\Huge\$ , so it is a rational number. Since $\displaystyle{2}\frac{{3}}{{5}}\usepackage{cmbright}\Huge\$ is between 2 and 3 on the number line, it cannot be an integer, whole number, or natural number.