It helps to first simplify both fractions to $\displaystyle\frac{{4}}{{9}}\usepackage{cmbright}\Huge\$ and $\displaystyle\frac{{3}}{{7}}\usepackage{cmbright}\Huge\$ . Finding a common denominator, you can compare $\displaystyle\frac{{28}}{{63}}\usepackage{cmbright}\Huge\$ to $\displaystyle\frac{{27}}{{63}}\usepackage{cmbright}\Huge\$ and see that $\displaystyle\frac{{28}}{{63}}>\frac{{27}}{{63}}\usepackage{cmbright}\Huge\$ , which means $\displaystyle\frac{{44}}{{99}}>\frac{{33}}{{77}}\usepackage{cmbright}\Huge\$ .