8\(\frac{1}{4}\):1\(\frac{1}{10}\)-\(\left\)\(3-2\frac{4}{5}\cdot\frac{4}{7}\right\)

Решение:

1. \( 8\frac{1}{4} = \frac{33}{4} \)
2. \( 1\frac{1}{10} = \frac{11}{10} \)
3. \( \frac{33}{4} : \frac{11}{10} = \frac{33}{4} \cdot \frac{10}{11} = \frac{3 \cdot 5}{2} = \frac{15}{2} \)
4. \( 2\frac{4}{5} = \frac{14}{5} \)
5. \( \frac{14}{5} \cdot \frac{4}{7} = \frac{2 \cdot 4}{5} = \frac{8}{5} \)
6. \( 3 - \frac{8}{5} = \frac{15 - 8}{5} = \frac{7}{5} \)
7. \( \frac{15}{2} - \frac{7}{5} = \frac{15 \cdot 5 - 7 \cdot 2}{10} = \frac{75 - 14}{10} = \frac{61}{10} \)

Ответ: \(\frac{61}{10}\)