7. Вычислите: \frac{9}{16} ⋅ (\frac{1}{4} + \frac{5}{12}) - \frac{8}{15} : \frac{16}{45}

\frac{9}{16} ⋅ (\frac{1}{4} + \frac{5}{12}) - \frac{8}{15} : \frac{16}{45} = \frac{9}{16} ⋅ (\frac{3}{12} + \frac{5}{12}) - \frac{8}{15} ⋅ \frac{45}{16} = \frac{9}{16} ⋅ \frac{8}{12} - \frac{1}{1} ⋅ \frac{3}{2} = \frac{3}{2} ⋅ \frac{1}{4} - \frac{3}{2} = \frac{3}{8} - \frac{12}{8} = -\frac{9}{8} = -1.125

Ответ: -1.125