5. Вычислите значение дробного выражения: 1) \(\frac{(5,6 - 1\frac{1}{3}) \cdot 1,25}{\frac{7}{12} - 2,25}\); 2) \(\frac{3\frac{3}{4} \cdot 0,6 - 7\frac{1}{2} : 27 + 1\frac{2}{9}}{3\frac{1}{6} - 1,25}\).

1) \(\frac{(5,6 - 1\frac{1}{3}) \cdot 1,25}{\frac{7}{12} - 2,25}\) = \(\frac{(5,6 - \frac{4}{3}) \cdot 1,25}{\frac{7}{12} - \frac{225}{100}}\) = \(\frac{(5,6 - 1,33) \cdot 1,25}{\frac{7}{12} - \frac{9}{4}}\) = \(\frac{(4,27) \cdot 1,25}{\frac{7}{12} - \frac{27}{12}}\) = \(\frac{5,3375}{\frac{-20}{12}}\) = \(\frac{5,3375}{\frac{-5}{3}}\) = \(\frac{5,3375 \cdot 3}{-5}\) = -3,2025

Ответ: -3,2025

2) \(\frac{3\frac{3}{4} \cdot 0,6 - 7\frac{1}{2} : 27 + 1\frac{2}{9}}{3\frac{1}{6} - 1,25}\) = \(\frac{\frac{15}{4} \cdot \frac{6}{10} - \frac{15}{2} : 27 + \frac{11}{9}}{\frac{19}{6} - \frac{125}{100}}\) = \(\frac{\frac{15}{4} \cdot \frac{3}{5} - \frac{15}{2} \cdot \frac{1}{27} + \frac{11}{9}}{\frac{19}{6} - \frac{5}{4}}\) = \(\frac{\frac{3}{4} \cdot 3 - \frac{5}{2} \cdot \frac{1}{9} + \frac{11}{9}}{\frac{38}{12} - \frac{15}{12}}\) = \(\frac{\frac{9}{4} - \frac{5}{18} + \frac{11}{9}}{\frac{23}{12}}\) = \(\frac{\frac{81}{36} - \frac{10}{36} + \frac{44}{36}}{\frac{23}{12}}\) = \(\frac{\frac{115}{36}}{\frac{23}{12}}\) = \(\frac{115}{36} \cdot \frac{12}{23}\) = \(\frac{5}{3} \cdot \frac{1}{1}\) = \(\frac{5}{3}\) = 1\(\frac{2}{3}\)

Ответ: 1\(\frac{2}{3}\)