19 (19+28):15+

Решим пример:

$$\begin{aligned}
\left(19\frac{2}{5} + 28\frac{9}{40}\right) : 15 + \frac{9}{16} = \left(\frac{97}{5} + \frac{1129}{40}\right) : 15 + \frac{9}{16} = \left(\frac{776 + 1129}{40}\right) : 15 + \frac{9}{16} = \frac{1905}{40} : 15 + \frac{9}{16} = \frac{1905}{40} \cdot \frac{1}{15} + \frac{9}{16} = \frac{127}{8} \cdot \frac{1}{15} + \frac{9}{16} = \frac{127}{8 \cdot 15} + \frac{9}{16} = \frac{127}{120} + \frac{9}{16} = \frac{127 \cdot 4 + 9 \cdot 30}{480} = \frac{508 + 270}{480} = \frac{778}{480} = \frac{389}{240} = 1\frac{149}{240}
\end{aligned}$$

Ответ: $$1\frac{149}{240}$$