1.004. (1,5+\frac{1}{4}):18\frac{1}{3} \frac{(2,7-0,8)\cdot 2\frac{2}{3}+0,125}{ (5,2-1,4): \frac{70}{3}}+0,43.

1.004.

Решение:

$$\begin{aligned} &\left(1,5+\frac{1}{4}\right):18\frac{1}{3} = \left(\frac{3}{2} + \frac{1}{4}\right) : \frac{55}{3} = \left(\frac{6}{4} + \frac{1}{4}\right) : \frac{55}{3} = \frac{7}{4} \cdot \frac{3}{55} = \frac{21}{220} \approx 0,095\end{aligned}$$ $$\begin{aligned} &\frac{(2,7-0,8)\cdot 2\frac{2}{3}+0,125}{ (5,2-1,4): \frac{70}{3}}+0,43 = \frac{1,9 \cdot \frac{8}{3} + 0,125}{3,8:\frac{70}{3}} + 0,43 = \frac{\frac{15,2}{3} + 0,125}{\frac{3,8 \cdot 3}{70}}+0,43 = \frac{\frac{15,2}{3} + \frac{1}{8}}{\frac{11,4}{70}}+0,43 =\frac{\frac{121,6+3}{24}}{\frac{11,4}{70}}+0,43 =\frac{\frac{124,6}{24}}{\frac{11,4}{70}}+0,43 = \frac{124,6}{24} \cdot \frac{70}{11,4} + 0,43 = \frac{8722}{273,6} + 0,43 = 31,88 + 0,43 = 32,31 \end{aligned}$$

Ответ: \(\left(1,5+\frac{1}{4}\right):18\frac{1}{3} = \frac{21}{220} \approx 0,095\), \(\frac{(2,7-0,8)\cdot 2\frac{2}{3}+0,125}{ (5,2-1,4): \frac{70}{3}}+0,43 = 32,31\)