Вычислите: 39 10-25 5 : a) 4-1 + 6 4 10 25 13 1 - - 6 49 14 (9 0) 5-(3-120): 23+8. L 9 1 B) 3 11 - + 4 2-1 4 г) 64 4 4 6. : 1 54 Д) 5: 15-84 +116 7 8 16 1 5 10 e) 5:25 74+28 7.

а) \[\frac{3}{10} - \frac{9}{25} : (4 - 1\frac{9}{10}) + \frac{4}{7} = \frac{3}{10} - \frac{9}{25} : (4 - \frac{19}{10}) + \frac{4}{7}\]

\[\frac{3}{10} - \frac{9}{25} : (\frac{40}{10} - \frac{19}{10}) + \frac{4}{7} = \frac{3}{10} - \frac{9}{25} : \frac{21}{10} + \frac{4}{7}\]

\[\frac{3}{10} - \frac{9}{25} \cdot \frac{10}{21} + \frac{4}{7} = \frac{3}{10} - \frac{9 \cdot 10}{25 \cdot 21} + \frac{4}{7} = \frac{3}{10} - \frac{3 \cdot 2}{5 \cdot 7} + \frac{4}{7}\]

\[\frac{3}{10} - \frac{6}{35} + \frac{4}{7} = \frac{3}{10} - \frac{6}{35} + \frac{20}{35} = \frac{3}{10} + \frac{14}{35} = \frac{3}{10} + \frac{2}{5} = \frac{3}{10} + \frac{4}{10} = \frac{7}{10}\]

Ответ: \(\frac{7}{10}\)

б) \[\frac{5}{6} - \frac{25}{49} : (3 - 1\frac{13}{14}) + 2 = \frac{5}{6} - \frac{25}{49} : (3 - \frac{27}{14}) + 2 = \frac{5}{6} - \frac{25}{49} : (\frac{42}{14} - \frac{27}{14}) + 2\]

\[\frac{5}{6} - \frac{25}{49} : \frac{15}{14} + 2 = \frac{5}{6} - \frac{25}{49} \cdot \frac{14}{15} + 2 = \frac{5}{6} - \frac{5 \cdot 2}{7 \cdot 3} + 2 = \frac{5}{6} - \frac{10}{21} + 2\]

\[\frac{35}{42} - \frac{20}{42} + \frac{84}{42} = \frac{15}{42} + \frac{84}{42} = \frac{99}{42} = \frac{33}{14} = 2\frac{5}{14}\]

Ответ: \(2\frac{5}{14}\)

в) \[5 - (3 - 1\frac{7}{20}) : (\frac{9}{25} + \frac{1}{8}) = 5 - (3 - \frac{27}{20}) : (\frac{9}{25} + \frac{1}{8})\]

\[5 - (\frac{60}{20} - \frac{27}{20}) : (\frac{72}{200} + \frac{25}{200}) = 5 - \frac{33}{20} : \frac{97}{200} = 5 - \frac{33}{20} \cdot \frac{200}{97} = 5 - \frac{33 \cdot 10}{97} = 5 - \frac{330}{97}\]

\[\frac{485}{97} - \frac{330}{97} = \frac{155}{97} = 1\frac{58}{97}\]

Ответ: \(1\frac{58}{97}\)

г) \[\frac{3}{4} + (2 - 1\frac{11}{21}) : 4 = \frac{3}{4} + (2 - \frac{32}{21}) : 4 = \frac{3}{4} + (\frac{42}{21} - \frac{32}{21}) : 4\]

\[\frac{3}{4} + \frac{10}{21} : 4 = \frac{3}{4} + \frac{10}{21} \cdot \frac{1}{4} = \frac{3}{4} + \frac{5}{42} = \frac{63}{84} + \frac{10}{84} = \frac{73}{84}\]

Ответ: \(\frac{73}{84}\)

д) \[6\frac{4}{5} : 5 - (8\frac{1}{4} + 1\frac{5}{16}) \cdot \frac{4}{7} = \frac{34}{5} : 5 - (\frac{33}{4} + \frac{21}{16}) \cdot \frac{4}{7}\]

\[\frac{34}{5} : 5 - (\frac{132}{16} + \frac{21}{16}) \cdot \frac{4}{7} = \frac{34}{5} : 5 - \frac{153}{16} \cdot \frac{4}{7} = \frac{34}{5} \cdot \frac{1}{5} - \frac{153 \cdot 4}{16 \cdot 7} = \frac{34}{25} - \frac{153}{28}\]

\[\frac{952}{700} - \frac{3825}{700} = -\frac{2873}{700} = -4\frac{73}{700}\]

Ответ: \(-4\frac{73}{700}\)

е) \[8\frac{1}{5} : 5\frac{1}{25} - (7\frac{1}{4} + 2\frac{5}{8}) \cdot \frac{5}{7} = \frac{41}{5} : \frac{126}{25} - (\frac{29}{4} + \frac{21}{8}) \cdot \frac{5}{7}\]

\[\frac{41}{5} \cdot \frac{25}{126} - (\frac{58}{8} + \frac{21}{8}) \cdot \frac{5}{7} = \frac{41 \cdot 5}{126} - \frac{79}{8} \cdot \frac{5}{7} = \frac{205}{126} - \frac{395}{56} = \frac{5740}{3528} - \frac{24822}{3528} = -\frac{19082}{3528} = -5\frac{1642}{3528}\]

Ответ: \(-5\frac{821}{1764}\)