5.14 Найдите значение суммы: 2)-6\frac{2}{6}+4\frac{5}{9}; 6)2\frac{4}{15}-3\frac{11}{20}; 7 в) -2\frac{2}{15}-4\frac{7}{10}; г)-8\frac{5}{6}+\frac{7}{10}

Ответ:

а)

\[-6\frac{2}{6} + 4\frac{5}{9} = -6\frac{1}{3} + 4\frac{5}{9} = -\frac{19}{3} + \frac{41}{9} = \frac{-57 + 41}{9} = -\frac{16}{9} = -1\frac{7}{9}\]

Ответ: -1\frac{7}{9}

б)

\[2\frac{4}{15} - 3\frac{11}{20} = \frac{34}{15} - \frac{71}{20} = \frac{136 - 213}{60} = -\frac{77}{60} = -1\frac{17}{60}\]

Ответ: -1\frac{17}{60}

в)

\[-2\frac{2}{15} - 4\frac{7}{10} = -\frac{32}{15} - \frac{47}{10} = \frac{-64 - 141}{30} = -\frac{205}{30} = -\frac{41}{6} = -6\frac{5}{6}\]

Ответ: -6\frac{5}{6}

г)

\[-8\frac{5}{6} + \frac{7}{10} = -\frac{53}{6} + \frac{7}{10} = \frac{-265 + 21}{30} = -\frac{244}{30} = -\frac{122}{15} = -8\frac{2}{15}\]

Ответ: -8\frac{2}{15}