И) $$(-14,09)·2\frac{1}{6}-6,31·(-1\frac{1}{2})-2\frac{1}{6}·6,31+(-1\frac{1}{2})·(-14,09)$$

И) Выполним действия:

1) $$2\frac{1}{6} = \frac{2 \cdot 6 + 1}{6} = \frac{13}{6}$$

2) $$-14,09 \cdot \frac{13}{6} = -\frac{1409}{100} \cdot \frac{13}{6} = -\frac{18317}{600}$$

3) $$-1\frac{1}{2} = -\frac{1 \cdot 2 + 1}{2} = -\frac{3}{2}$$

4) $$-6,31 \cdot \left(-\frac{3}{2}\right) = -\frac{631}{100} \cdot \left(-\frac{3}{2}\right) = \frac{1893}{200}$$

5) $$\left(-\frac{13}{6}\right) \cdot 6,31 = \left(-\frac{13}{6}\right) \cdot \frac{631}{100} = -\frac{8203}{600}$$

6) $$\left(-\frac{3}{2}\right) \cdot (-14,09) = \left(-\frac{3}{2}\right) \cdot \left(-\frac{1409}{100}\right) = \frac{4227}{200}$$

7) $$\left(-\frac{18317}{600}\right) + \frac{1893}{200} - \frac{8203}{600} + \frac{4227}{200} = \frac{-18317}{600} + \frac{1893 \cdot 3}{200 \cdot 3} - \frac{8203}{600} + \frac{4227 \cdot 3}{200 \cdot 3} = \frac{-18317}{600} + \frac{5679}{600} - \frac{8203}{600} + \frac{12681}{600} = \frac{-18317 + 5679 - 8203 + 12681}{600} = \frac{-8160}{600} = -13,6$$

Ответ: -13,6