Вычислите: \(\frac{29}{4}:5-\frac{4}{5}-\frac{3}{4} \cdot (3-\frac{19}{30})\)

Выполним вычисления по действиям:

1. \(\frac{29}{4}:5 = \frac{29}{4} \cdot \frac{1}{5} = \frac{29}{20}\)
2. \(\frac{4}{5} = \frac{4 \cdot 4}{5 \cdot 4} = \frac{16}{20}\)
3. \(\frac{29}{20} - \frac{16}{20} = \frac{29-16}{20} = \frac{13}{20}\)
4. \(3-\frac{19}{30} = \frac{3 \cdot 30}{30} - \frac{19}{30} = \frac{90-19}{30} = \frac{71}{30}\)
5. \(\frac{3}{4} \cdot \frac{71}{30} = \frac{3 \cdot 71}{4 \cdot 30} = \frac{213}{120} = \frac{71}{40}\)
6. \(\frac{13}{20} - \frac{71}{40} = \frac{13 \cdot 2}{20 \cdot 2} - \frac{71}{40} = \frac{26}{40} - \frac{71}{40} = \frac{26-71}{40} = \frac{-45}{40} = -\frac{9}{8} = -1\frac{1}{8}\)

Ответ: -1 1/8