1) 4 : 16/19 + 3 3/5 * (5/12 - 3 13/24) =

Привет! Давай решим эти примеры по порядку. 1) $4 : \frac{16}{19} + 3\frac{3}{5} \cdot (\frac{5}{12} - 3\frac{13}{24}) = 4 \cdot \frac{19}{16} + \frac{18}{5} \cdot (\frac{10}{24} - \frac{85}{24}) = \frac{19}{4} + \frac{18}{5} \cdot (-\frac{75}{24}) = 4,75 + \frac{18}{5} \cdot (-\frac{25}{8}) = 4,75 - \frac{90}{8} = 4,75 - 11,25 = -6,5$ 2) $\frac{17}{12} : 3\frac{2}{5} - \frac{2}{5} \cdot (2 - 1\frac{1}{12}) = \frac{17}{12} : \frac{17}{5} - \frac{2}{5} \cdot (\frac{11}{12}) = \frac{17}{12} \cdot \frac{5}{17} - \frac{22}{60} = \frac{5}{12} - \frac{11}{30} = \frac{25}{60} - \frac{22}{60} = \frac{3}{60} = \frac{1}{20}$ 3) $13 - (3 - 1\frac{20}{21}) : \frac{4}{49} + \frac{3}{10} = 13 - (1\frac{1}{21}) : \frac{4}{49} + \frac{3}{10} = 13 - \frac{22}{21} \cdot \frac{49}{4} + \frac{3}{10} = 13 - \frac{77}{6} + \frac{3}{10} = 13 - 12\frac{5}{6} + \frac{3}{10} = \frac{1}{6} + \frac{3}{10} = \frac{5}{30} + \frac{9}{30} = \frac{14}{30} = \frac{7}{15}$ 4) $-2 + (\frac{11}{24} + \frac{5}{6}) : 1\frac{15}{16} - \frac{2}{5} = -2 + (\frac{11}{24} + \frac{20}{24}) : \frac{31}{16} - \frac{2}{5} = -2 + \frac{31}{24} \cdot \frac{16}{31} - \frac{2}{5} = -2 + \frac{2}{3} - \frac{2}{5} = -\frac{30}{15} + \frac{10}{15} - \frac{6}{15} = -\frac{26}{15} = -1\frac{11}{15}$ 5) $2\frac{4}{15} - (2 - 1\frac{1}{15}) : \frac{4}{9} + \frac{2}{3} = \frac{34}{15} - (\frac{14}{15}) : \frac{4}{9} + \frac{2}{3} = \frac{34}{15} - (\frac{14}{15} \cdot \frac{9}{4}) + \frac{2}{3} = \frac{34}{15} - \frac{21}{10} + \frac{2}{3} = \frac{68}{30} - \frac{63}{30} + \frac{20}{30} = \frac{25}{30} = \frac{5}{6}$