14. Вычислите: $$4 : \frac{16}{19} + 3 \frac{3}{5} \cdot (\frac{5}{12} - 3 \frac{13}{24})$$

$$4 : \frac{16}{19} = 4 \cdot \frac{19}{16} = \frac{19}{4} = 4 \frac{3}{4}$$ $$3 \frac{13}{24} = \frac{3 \cdot 24 + 13}{24} = \frac{72 + 13}{24} = \frac{85}{24}$$ $$\frac{5}{12} - 3 \frac{13}{24} = \frac{5}{12} - \frac{85}{24} = \frac{5 \cdot 2}{12 \cdot 2} - \frac{85}{24} = \frac{10}{24} - \frac{85}{24} = \frac{10 - 85}{24} = \frac{-75}{24} = -\frac{25}{8}$$ $$3 \frac{3}{5} = \frac{3 \cdot 5 + 3}{5} = \frac{15 + 3}{5} = \frac{18}{5}$$ $$\frac{18}{5} \cdot (-\frac{25}{8}) = -\frac{18 \cdot 25}{5 \cdot 8} = -\frac{18 \cdot 5}{8} = -\frac{9 \cdot 5}{4} = -\frac{45}{4} = -11 \frac{1}{4}$$ $$4 \frac{3}{4} = \frac{4 \cdot 4 + 3}{4} = \frac{16 + 3}{4} = \frac{19}{4}$$ $$\frac{19}{4} + ( -\frac{45}{4}) = \frac{19 - 45}{4} = \frac{-26}{4} = -\frac{13}{2} = -6 \frac{1}{2}$$