\[\frac{\left(\frac{5}{4}\right)\left(\frac{4}{3}\right)}{\left(\frac{1}{3}\right)\left(\frac{2}{3}\right)}=?\]
When multiplying fractions, multiply the numerators together and then multiply the denominators together and then reduce.
\[\left(\frac{5}{4}\right)\left(\frac{4}{3}\right)=\frac{20}{12}=\frac{5}{3}\]
\[\left(\frac{1}{3}\right)\left(\frac{2}{3}\right)=\frac{2}{9}\]
When dividing fractions, multiply the first fraction by the reciprocal of the second fraction and reduce.
\[\left(\frac{5}{3}\right)\div\left(\frac{2}{9}\right)\]
\[\left(\frac{5}{3}\right)\left(\frac{9}{2}\right)\]
\[\frac{45}{6}=\frac{15}{2}\]