Ответ:
\[\left(\frac{1}{24}+\frac{13}{30}\right):\frac{19}{18}=\left(\frac{5}{120}+\frac{52}{120}\right)\cdot\frac{18}{19}=\frac{57}{120}\cdot\frac{18}{19}=\frac{19}{40}\cdot\frac{18}{19}=\frac{9}{20}.\]
Ответ: \(\frac{9}{20}\).
\[\left(\frac{1}{24}+\frac{13}{30}\right):\frac{19}{18}=\left(\frac{5}{120}+\frac{52}{120}\right)\cdot\frac{18}{19}=\frac{57}{120}\cdot\frac{18}{19}=\frac{19}{40}\cdot\frac{18}{19}=\frac{9}{20}.\]
Ответ: \(\frac{9}{20}\).