6. $$\frac{7}{9} : 1\frac{1}{6} + 2,7 : (-0,1) - 4\frac{1}{3} \cdot (-4)$$

INSIGHT

Решение:

1. \(1\frac{1}{6} = \frac{7}{6}\)
2. \(\frac{7}{9} : \frac{7}{6} = \frac{7}{9} \cdot \frac{6}{7} = \frac{6}{9} = \frac{2}{3}\)
3. \(2,7 = \frac{27}{10}\)
4. \(\frac{27}{10} : (-0,1) = \frac{27}{10} : \left(-\frac{1}{10}\right) = \frac{27}{10} \cdot (-10) = -27\)
5. \(4\frac{1}{3} = \frac{13}{3}\)
6. \(-\frac{13}{3} \cdot (-4) = \frac{52}{3}\)
7. \(\frac{2}{3} + (-27) - \left(-\frac{52}{3}\right) = \frac{2}{3} - 27 + \frac{52}{3}\)
8. \(\frac{2}{3} + \frac{52}{3} - 27 = \frac{54}{3} - 27 = 18 - 27 = -9\)

Ответ: -9