5. Вычислите значение числового выражения: 1) 14 7/15 − 3 3/23 · 23/27 − 1 1/5 · 1/6; 2) (5 8/9 : 1 17/36 + 1 1/4) · 5/21; 3) (−3,25 − 2,75) : (−0,6) + 0,8 · (−7); 4) (−1 3/8 − 2 5/12) : 5 5/12.

1. \(14\frac{7}{15}-3\frac{3}{23}\cdot\frac{23}{27}-1\frac{1}{5}\cdot\frac{1}{6}=\frac{217}{15}-\frac{72}{23}\cdot\frac{23}{27}-\frac{6}{5}\cdot\frac{1}{6}=\frac{217}{15}-\frac{8}{3}-\frac{1}{5}=\frac{176}{15}\).
2. \(\left(5\frac{8}{9}:1\frac{17}{36}+1\frac{1}{4}\right)\cdot\frac{5}{21}=\left(\frac{53}{9}:\frac{53}{36}+\frac{5}{4}\right)\cdot\frac{5}{21}=\left(4+\frac{5}{4}\right)\cdot\frac{5}{21}=\frac{25}{4}\cdot\frac{5}{21}=\frac{125}{84}\).
3. \((-3.25-2.75):(-0.6)+0.8\cdot(-7)=(-6):(-0.6)-5.6=10-5.6=4.4\).
4. \(\left(-1\frac{3}{8}-2\frac{5}{12}\right):5\frac{5}{12}=\left(-\frac{11}{8}-\frac{29}{12}\right):\frac{65}{12}=\left(-\frac{91}{24}\right)\cdot\frac{12}{65}=-\frac{7}{10}\).

Ответ: 1) \(\frac{176}{15}\); 2) \(\frac{125}{84}\); 3) 4,4; 4) \(-\frac{7}{10}\).