Do not multiply the whole number parts and the fractional parts separately. You must first change each number to an improper fraction, then multiply numerators and multiply denominators.

$\displaystyle{4}\frac{{1}}{{6}}\cdot{1}\frac{{4}}{{5}}=\frac{{25}}{{6}}\cdot\frac{{9}}{{5}}=\frac{{225}}{{30}}={7}\frac{{1}}{{2}}\usepackage{cmbright}\Huge\$

The correct answer is $\displaystyle{7}\frac{{1}}{{2}}\usepackage{cmbright}\Huge\$ .