сли: \( \frac{5}{8}:(2+\frac{7}{16} \cdot \frac{8}{28}) + \frac{12}{17} \)

Ответ: \( \frac{1}{2} \)

1. \( \frac{7}{16} \cdot \frac{8}{28} = \frac{7 \cdot 8}{16 \cdot 28} = \frac{1 \cdot 1}{2 \cdot 4} = \frac{1}{8} \)
2. \( 2 + \frac{1}{8} = \frac{2 \cdot 8}{8} + \frac{1}{8} = \frac{16}{8} + \frac{1}{8} = \frac{17}{8} \)
3. \( \frac{5}{8} : \frac{17}{8} = \frac{5}{8} \cdot \frac{8}{17} = \frac{5 \cdot 8}{8 \cdot 17} = \frac{5 \cdot 1}{1 \cdot 17} = \frac{5}{17} \)
4. \( \frac{5}{17} + \frac{12}{17} = \frac{5+12}{17} = \frac{17}{17} = 1 \)
5. \( \frac{1}{2} \)

Ответ: \( \frac{1}{2} \)