First, simplify the two fractions to get $\displaystyle\frac{{1}}{{5}}\usepackage{cmbright}\Huge\$ and $\displaystyle\frac{{1}}{{4}}\usepackage{cmbright}\Huge\$ . To compare fractions, we want to have a common denominator, which could be 20.

These fractions are equivalent to $\displaystyle\frac{{4}}{{20}}\usepackage{cmbright}\Huge\$ and $\displaystyle\frac{{5}}{{20}}\usepackage{cmbright}\Huge\$ . Because $\displaystyle\frac{{4}}{{20}}<\frac{{5}}{{20}}\usepackage{cmbright}\Huge\$ , we know that $\displaystyle\frac{{15}}{{75}}<\frac{{10}}{{40}}\usepackage{cmbright}\Huge\$