5. Вычислите значение числового выражения: 1) 14 7/15 − 3 3/29 · 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. \(14\frac7{15}-3\frac3{29}\cdot\frac{23}{27}-1\frac15\cdot\frac16=\frac{217}{15}-\frac{90}{29}\cdot\frac{23}{27}-\frac{11}{30}=\frac{9121}{810}\).
2. \(\left(5\frac89:1\frac{17}{36}+1\frac14\right)\cdot\frac5{21}=\left(\frac{53}{9}:\frac{53}{36}+\frac54\right)\cdot\frac5{21}=\left(4+\frac54\right)\cdot\frac5{21}=\frac54\).
3. \((-3.25-2.75):(-0.6)+0.8\cdot(-7)=(-6):(-0.6)-5.6=10-5.6=4.4\).
4. \((-1\frac38-2\frac5{12}):5\frac5{12}=(-\frac{91}{24}):\frac{65}{12}=-\frac7{10}\).

Ответ: 1) \(\frac{9121}{810}\); 2) \(\frac54\); 3) 4,4; 4) \(-\frac7{10}\).