Simplify the numerator. Simplify the denominator. Divide the fractions and simplify.

$\displaystyle\frac{{\frac{{7}}{{9}}+\frac{{1}}{{9}}}}{{\frac{{5}}{{12}}+\frac{{5}}{{12}}}}=\frac{{\frac{{8}}{{9}}}}{{\frac{{10}}{{12}}}}=\frac{{8}}{{9}}\div\frac{{10}}{{12}}=\frac{{8}}{{9}}\cdot\frac{{12}}{{10}}=\frac{{4}}{{3}}\cdot\frac{{4}}{{5}}\cdot\frac{{{2}\cdot{3}}}{{{2}\cdot{3}}}=\frac{{16}}{{15}}\usepackage{cmbright}\Huge\$