8) (-13,6 + 5,1) \(\cdot\) 1\(\frac{3}{17}\) + \(2\frac{7}{23} - 1\frac{45}{46}\) : 1\(\frac{7}{23}\);

Решение:

1. \( -13,6 + 5,1 = -8,5 \)
2. \( -8,5 \cdot 1\frac{3}{17} = -\frac{85}{10} \cdot \frac{20}{17} = -\frac{17}{2} \cdot \frac{4}{17} = -2 \)
3. \( 2\frac{7}{23} = \frac{53}{23} \)
4. \( 1\frac{45}{46} = \frac{91}{46} \)
5. \( \frac{53}{23} - \frac{91}{46} = \frac{106 - 91}{46} = \frac{15}{46} \)
6. \( 1\frac{7}{23} = \frac{30}{23} \)
7. \( \frac{15}{46} : \frac{30}{23} = \frac{15}{46} \cdot \frac{23}{30} = \frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4} = 0,25 \)
8. \( -2 + 0,25 = -1,75 \)

Ответ: -1,75.