\[\frac{27}{40}:18+\frac{9}{16}=\frac{27}{40}\cdot\frac{1}{18}+\frac{9}{16}=\frac{3}{80}+\frac{45}{80}=\frac{48}{80}=\frac{3}{5}.\]
Ответ: \(\frac{3}{5}\).