1) \(\frac{2}{15} + \left(-\frac{3}{10}\right) = \frac{4}{30} - \frac{9}{30} = -\frac{5}{30} = -\frac{1}{6}\)
2) \(-\frac{2}{3} + \frac{13}{15} = -\frac{10}{15} + \frac{13}{15} = \frac{3}{15} = \frac{1}{5}\)
3) \(\frac{13}{16} + \left(-\frac{9}{32}\right) = \frac{26}{32} - \frac{9}{32} = \frac{17}{32}\)
4) \(-4 \frac{5}{9} + \left(-7 \frac{1}{6}\right) = -\frac{41}{9} - \frac{43}{6} = -\frac{82}{18} - \frac{129}{18} = -\frac{211}{18} = -11 \frac{13}{18}\)
5) \(-5 \frac{7}{8} + \left(-6 \frac{3}{10}\right) = -\frac{47}{8} - \frac{63}{10} = -\frac{235}{40} - \frac{252}{40} = -\frac{487}{40} = -12 \frac{7}{40}\)
6) \(-5 \frac{13}{18} + 12 \frac{11}{12} = -\frac{103}{18} + \frac{155}{12} = -\frac{206}{36} + \frac{465}{36} = \frac{259}{36} = 7 \frac{7}{36}\)
7) \(-13 + 7 \frac{3}{16} = -\frac{208}{16} + \frac{115}{16} = -\frac{93}{16} = -5 \frac{13}{16}\)
8) \(-2 \frac{3}{8} + \left(-1 \frac{5}{9}\right) = -\frac{19}{8} - \frac{14}{9} = -\frac{171}{72} - \frac{112}{72} = -\frac{283}{72} = -3 \frac{67}{72}\)