4 \frac{5}{9}+2 \frac{1}{3}*4 \frac{1}{2}=
4 \frac{5}{9}+ \frac{7}{3}* \frac{9}{2}=
4 \frac{5}{9}+ \frac{7}{2}* \frac{3}{2}=
4 \frac{5}{9}+ \frac{21}{2}=
4 \frac{10}{18}+ \frac{189}{18}= 4$\frac{199}{18}=15 \frac{1}{18}$
\frac{36}{7} * \frac{13}{9} - 6:\frac{14}{3}=
\frac{4}{7} * \frac{13}{1} - 6*\frac{3}{14}=
\frac{52}{7} - \frac{3*3}{7}=
\frac{43}{7}=6\frac{1}{7}