Вычисли выражения: 6/5 : 4/15 - 8 1/4 + 1 5/16 * 4/7

Конечно, сейчас помогу всё посчитать! 1. $\frac{6}{5} : \frac{4}{15} - 8 \frac{1}{4} + 1 \frac{5}{16} \cdot \frac{4}{7} =$ $\frac{6}{5} \cdot \frac{15}{4} - \frac{33}{4} + \frac{21}{16} \cdot \frac{4}{7} =$ $\frac{9}{2} - \frac{33}{4} + \frac{3}{4} =$ $\frac{18}{4} - \frac{33}{4} + \frac{3}{4} =$ $\frac{18 - 33 + 3}{4} = \frac{-12}{4} = -3$ 2. $\frac{8}{5} : \frac{16}{25} - 7 \frac{1}{4} + 2 \frac{5}{8} \cdot \frac{10}{7} =$ $\frac{8}{5} \cdot \frac{25}{16} - \frac{29}{4} + \frac{21}{8} \cdot \frac{10}{7} =$ $\frac{5}{2} - \frac{29}{4} + \frac{15}{4} =$ $\frac{10}{4} - \frac{29}{4} + \frac{15}{4} =$ $\frac{10 - 29 + 15}{4} = \frac{-4}{4} = -1$ 3. $15 \frac{16}{5} - 6 \frac{2}{3} + 2 \frac{1}{12} : 5 \frac{1}{5} =$ $\frac{91}{5} - \frac{20}{3} + \frac{25}{12} : \frac{26}{5} =$ $\frac{91}{5} - \frac{20}{3} + \frac{25}{12} \cdot \frac{5}{26} =$ $\frac{91}{5} - \frac{20}{3} + \frac{125}{312} =$ $\frac{28416}{1560} - \frac{10400}{1560} + \frac{625}{1560} =$ $\frac{28416 - 10400 + 625}{1560} = \frac{18641}{1560} = 11 \frac{1581}{1560} = 11 \frac{527}{520}$ 4. $15 \frac{14}{15} : \frac{8}{45} - 10 \frac{1}{2} + 2 \frac{3}{16} \cdot \frac{4}{7} =$ $\frac{239}{15} : \frac{8}{45} - \frac{21}{2} + \frac{35}{16} \cdot \frac{4}{7} =$ $\frac{239}{15} \cdot \frac{45}{8} - \frac{21}{2} + \frac{5}{4} =$ $\frac{717}{8} - \frac{21}{2} + \frac{5}{4} =$ $\frac{717}{8} - \frac{84}{8} + \frac{10}{8} =$ $\frac{717 - 84 + 10}{8} = \frac{643}{8} = 80 \frac{3}{8}$ 5. $2 : \frac{14}{19} + 1 \frac{5}{7} \cdot (\frac{2}{9} - 3 \frac{7}{18}) =$ $2 : \frac{14}{19} + \frac{12}{7} \cdot (\frac{4}{18} - \frac{61}{18}) =$ $2 \cdot \frac{19}{14} + \frac{12}{7} \cdot (\frac{-57}{18}) =$ $\frac{19}{7} + \frac{2}{1} \cdot (\frac{-19}{6}) =$ $\frac{19}{7} - \frac{19}{3} =$ $\frac{57}{21} - \frac{133}{21} = \frac{-76}{21} = -3 \frac{13}{21}$ 6. $4 : \frac{20}{23} + 2 \frac{4}{15} \cdot (\frac{2}{7} - 4 \frac{11}{14}) =$ $4 : \frac{20}{23} + \frac{34}{15} \cdot (\frac{4}{14} - \frac{67}{14}) =$ $4 \cdot \frac{23}{20} + \frac{34}{15} \cdot (\frac{-63}{14}) =$ $\frac{23}{5} + \frac{34}{15} \cdot (\frac{-9}{2}) =$ $\frac{23}{5} - \frac{17}{5} \cdot \frac{3}{1} =$ $\frac{23}{5} - \frac{51}{5} =$ $\frac{23 - 51}{5} = \frac{-28}{5} = -5 \frac{3}{5}$ 7. $6 : \frac{18}{23} + 2 \frac{2}{3} \cdot (\frac{3}{14} - 4 \frac{13}{28}) =$ $6 : \frac{18}{23} + \frac{8}{3} \cdot (\frac{6}{28} - \frac{125}{28}) =$ $6 \cdot \frac{23}{18} + \frac{8}{3} \cdot (\frac{-119}{28}) =$ $\frac{23}{3} + \frac{2}{3} \cdot (\frac{-17}{1}) =$ $\frac{23}{3} - \frac{34}{3} =$ $\frac{23 - 34}{3} = \frac{-11}{3} = -3 \frac{2}{3}$ 8. $4 : \frac{16}{19} + 3 \frac{3}{5} \cdot (\frac{5}{12} - 3 \frac{13}{24}) =$ $4 : \frac{16}{19} + \frac{18}{5} \cdot (\frac{10}{24} - \frac{85}{24}) =$ $4 \cdot \frac{19}{16} + \frac{18}{5} \cdot (\frac{-75}{24}) =$ $\frac{19}{4} + \frac{3}{1} \cdot (\frac{-15}{4}) =$ $\frac{19}{4} - \frac{45}{4} =$ $\frac{19 - 45}{4} = \frac{-26}{4} = -6 \frac{2}{4} = -6 \frac{1}{2}$ 9. $4 : \frac{20}{23} + 2 \frac{4}{15} \cdot (\frac{2}{7} - 4 \frac{11}{14}) =$ $4 : \frac{20}{23} + \frac{34}{15} \cdot (\frac{4}{14} - \frac{67}{14}) =$ $4 \cdot \frac{23}{20} + \frac{34}{15} \cdot (\frac{-63}{14}) =$ $\frac{23}{5} + \frac{34}{15} \cdot (\frac{-9}{2}) =$ $\frac{23}{5} - \frac{17}{5} \cdot \frac{3}{1} =$ $\frac{23}{5} - \frac{51}{5} =$ $\frac{23 - 51}{5} = \frac{-28}{5} = -5 \frac{3}{5}$ 10. $-1 + (\frac{17}{24} + \frac{3}{8}) : 1 \frac{5}{8} - \frac{5}{6} =$ $-1 + (\frac{17}{24} + \frac{9}{24}) : \frac{13}{8} - \frac{5}{6} =$ $-1 + \frac{26}{24} \cdot \frac{8}{13} - \frac{5}{6} =$ $-1 + \frac{1}{3} \cdot \frac{1}{1} - \frac{5}{6} =$ $-1 + \frac{1}{3} - \frac{5}{6} =$ $\frac{-6}{6} + \frac{2}{6} - \frac{5}{6} =$ $\frac{-6 + 2 - 5}{6} = \frac{-9}{6} = -1 \frac{3}{6} = -1 \frac{1}{2}$ 11. $\frac{65}{96} : (\frac{5}{16} - \frac{7}{12}) =$ $\frac{65}{96} : (\frac{15}{48} - \frac{28}{48}) =$ $\frac{65}{96} : (\frac{-13}{48}) =$ $\frac{65}{96} \cdot (\frac{-48}{13}) =$ $\frac{5}{2} \cdot (\frac{-1}{1}) = \frac{-5}{2} = -2 \frac{1}{2}$