1. Вычисления:
\[ -7,34 - 2,9 = -10,24 \]
\[ -1,4 - \left(-2\frac{1}{7}\right) = -1,4 + 2\frac{1}{7} = -\frac{14}{10} + \frac{15}{7} = -\frac{7}{5} + \frac{15}{7} \]
\[ = \frac{-7 \times 7 + 15 \times 5}{35} = \frac{-49 + 75}{35} = \frac{26}{35} \]
\[ 25,84 : (-8,5) = -\frac{2584}{100} : \frac{85}{10} = -\frac{2584}{100} \times \frac{10}{85} = -\frac{2584}{10 \times 85} = -\frac{2584}{850} \]
\[ \frac{2584}{850} \approx 3.04 \]
Точный ответ:
\[ -\frac{2584}{850} = -\frac{1292}{425} \]
\[ \left(6\frac{7}{18} - 7\frac{1}{4}\right) : 7,2 - 2,8 = \left(\frac{115}{18} - \frac{29}{4}\right) : \frac{72}{10} - \frac{28}{10} \]
\[ = \left(\frac{115 \times 2 - 29 \times 9}{36}\right) : \frac{36}{5} - \frac{14}{5} = \left(\frac{230 - 261}{36}\right) : \frac{36}{5} - \frac{14}{5} \]
\[ = \left(-\frac{31}{36}\right) \times \frac{5}{36} - \frac{14}{5} = -\frac{155}{1296} - \frac{14}{5} \]
\[ = \frac{-155 \times 5 - 14 \times 1296}{6480} = \frac{-775 - 18144}{6480} = -\frac{18919}{6480} \]
\[ \approx -2.92 \]
Точный ответ:
\[ -\frac{18919}{6480} \]