$2 * 1\frac{5}{12} + 4 * 1\frac{1}{8} + 1\frac{1}{9} * 1\frac{1}{4} = 2 * \frac{17}{12} + 4 * \frac{9}{8} + \frac{10}{9} * \frac{5}{4} = \frac{17}{6} + \frac{9}{2} + \frac{25}{18} = 2\frac{5}{6} + 4\frac{1}{2} + 1\frac{7}{18} = 2\frac{15}{18} + 4\frac{9}{18} + 1\frac{7}{18} = 7\frac{31}{18} = 8\frac{13}{18}$