$\frac{2}{3} * (-1) = -\frac{2}{3}$;
$\frac{2}{3} * \frac{1}{3} = \frac{2}{9}$;
$\frac{2}{3} * (-1\frac{1}{2}) = \frac{2}{3} * (-\frac{3}{2}) = -1$;
$\frac{2}{3} * (-3) = -2$;
$\frac{2}{3} * (-\frac{1}{2}) = -\frac{1}{3}$;
$1 * (-1) = -1$;
$1 * \frac{1}{3} = \frac{1}{3}$;
$1 * (-1\frac{1}{2}) = -1\frac{1}{2}$;
$1 * (-3) = -3$;
$1 * (-\frac{1}{2}) = -\frac{1}{2}$;
$-\frac{1}{2} * (-1) = -\frac{1}{2}$;
$-\frac{1}{2} * \frac{1}{3} = -\frac{1}{6}$;
$-\frac{1}{2} * (-1\frac{1}{2}) = -\frac{1}{2} * (-\frac{3}{2}) = \frac{3}{4}$;
$-\frac{1}{2} * (-3) = \frac{3}{2} = 1\frac{1}{2}$;
$-\frac{1}{2} * (-\frac{1}{2}) = \frac{1}{4}$;
$0 * (-1) = 0$;
$0 * \frac{1}{3} = 0$;
$0 * (-1\frac{1}{2}) = 0$;
$0 * (-3) = 0$;
$0 * (-\frac{1}{2}) = 0$;
$-2 * (-1) = 2$;
$-2 * \frac{1}{3} = -\frac{2}{3}$;
$-2 * (-1\frac{1}{2}) = -2 * (-\frac{3}{2}) = 3$;
$-2 * (-3) = 6$;
$-2 * (-\frac{1}{2}) = 1$.

$\frac{1}{2} : 2 = \frac{1}{2} * \frac{1}{2} = \frac{1}{4}$;
$\frac{1}{2} : (-\frac{1}{2}) = \frac{1}{2} * (-2) = -1$;
$\frac{1}{2} : (-6) = \frac{1}{2} * (-\frac{1}{6}) = -\frac{1}{12}$;
$\frac{1}{2} : \frac{1}{6} = \frac{1}{2} * 6 = 3$;
$\frac{1}{2} : \frac{1}{3} = \frac{1}{2} * 3 = \frac{3}{2} = 1\frac{1}{2}$;
$-3 : 2 = -3 * \frac{1}{2} = -\frac{3}{2} = -1\frac{1}{2}$;
$-3 : (-\frac{1}{2}) = -3 * (-2) = 6$;
$-3 : (-6) = -3 * (-\frac{1}{6}) = \frac{1}{2}$;
$-3 : \frac{1}{6} = -3 * 6 = -18$;
$-3 : \frac{1}{3} = -3 * 3 = -9$;
$0 : 2 = 0$;
$0 : (-\frac{1}{2}) = 0$;
$0 : (-6) = 0$;
$0 : \frac{1}{6} = 0$;
$0 : \frac{1}{3} = 0$;
$-\frac{2}{3} : 2 = -\frac{2}{3} * \frac{1}{2} = -\frac{1}{3}$;
$-\frac{2}{3} : (-\frac{1}{2}) = -\frac{2}{3} * (-2) = -\frac{4}{3} = -1\frac{1}{3}$;
$-\frac{2}{3} : (-6) = -\frac{2}{3} * (-\frac{1}{6}) = \frac{1}{9}$;
$-\frac{2}{3} : \frac{1}{6} = -\frac{2}{3} * 6 = -4$;
$-\frac{2}{3} : \frac{1}{3} = -\frac{2}{3} * 3 = -2$;
$-1 : 2 = -1 * \frac{1}{2} = -\frac{1}{2}$;
$-1 : (-\frac{1}{2}) = -1 * (-2) = 2$;
$-1 : (-6) = -1 * (-\frac{1}{6}) = \frac{1}{6}$;
$-1 : \frac{1}{6} = -1 * 6 = -6$;
$-1 : \frac{1}{3} = -1 * 3 = -3$.