Реши примеры в), г) по действиям

Допущение: Решаю примеры в) и г) из задания. в) $$\left(2\frac{1}{6} : \left(\frac{1}{15} - \frac{1}{5}\right) + \left(2\frac{1}{8} + \frac{3}{4}\right) : 5\frac{3}{4}\right) - 2\frac{3}{32} : 1\frac{1}{6} \cdot 1\frac{7}{12} = -2\frac{1}{12}$$ 1. $$ \frac{1}{15} - \frac{1}{5} = \frac{1}{15} - \frac{3}{15} = -\frac{2}{15} $$ 2. $$ 2\frac{1}{6} : \left(-\frac{2}{15}\right) = \frac{13}{6} : \left(-\frac{2}{15}\right) = \frac{13}{6} \cdot \left(-\frac{15}{2}\right) = -\frac{13 \cdot 15}{6 \cdot 2} = -\frac{13 \cdot 5}{2 \cdot 2} = -\frac{65}{4} = -16\frac{1}{4} $$ 3. $$ 2\frac{1}{8} + \frac{3}{4} = 2\frac{1}{8} + \frac{6}{8} = 2\frac{7}{8} = \frac{23}{8} $$ 4. $$ 2\frac{7}{8} : 5\frac{3}{4} = \frac{23}{8} : \frac{23}{4} = \frac{23}{8} \cdot \frac{4}{23} = \frac{4}{8} = \frac{1}{2} $$ 5. $$ -16\frac{1}{4} + \frac{1}{2} = -16\frac{1}{4} + \frac{2}{4} = -15\frac{3}{4} $$ 6. $$ 2\frac{3}{32} : 1\frac{1}{6} = \frac{67}{32} : \frac{7}{6} = \frac{67}{32} \cdot \frac{6}{7} = \frac{67 \cdot 3}{16 \cdot 7} = \frac{201}{112} = 1\frac{89}{112} $$ 7. $$ 1\frac{89}{112} \cdot 1\frac{7}{12} = \frac{201}{112} \cdot \frac{19}{12} = \frac{67 \cdot 19}{112 \cdot 4} = \frac{1273}{448} = 2\frac{377}{448} $$ 8. $$ -15\frac{3}{4} - 2\frac{377}{448} = -15\frac{336}{448} - 2\frac{377}{448} = -17\frac{713}{448} = -18\frac{265}{448} $$ **Ответ: $-18\frac{265}{448}$** *** г) $$\left(2\frac{1}{2} : 3\frac{1}{3} + 3\frac{1}{3} : 2\frac{1}{2} - \frac{7}{13}\right) \cdot 2\frac{1}{2} \cdot \frac{9}{5} = 12$$ 1. $$ 2\frac{1}{2} : 3\frac{1}{3} = \frac{5}{2} : \frac{10}{3} = \frac{5}{2} \cdot \frac{3}{10} = \frac{1 \cdot 3}{2 \cdot 2} = \frac{3}{4} $$ 2. $$ 3\frac{1}{3} : 2\frac{1}{2} = \frac{10}{3} : \frac{5}{2} = \frac{10}{3} \cdot \frac{2}{5} = \frac{2 \cdot 2}{3 \cdot 1} = \frac{4}{3} $$ 3. $$ \frac{3}{4} + \frac{4}{3} = \frac{9}{12} + \frac{16}{12} = \frac{25}{12} $$ 4. $$ \frac{25}{12} - \frac{7}{13} = \frac{25 \cdot 13}{12 \cdot 13} - \frac{7 \cdot 12}{13 \cdot 12} = \frac{325}{156} - \frac{84}{156} = \frac{241}{156} $$ 5. $$ \frac{241}{156} \cdot 2\frac{1}{2} = \frac{241}{156} \cdot \frac{5}{2} = \frac{1205}{312} $$ 6. $$ \frac{1205}{312} \cdot \frac{9}{5} = \frac{241}{312} \cdot 9 = \frac{241 \cdot 3}{104} = \frac{723}{104} = 6\frac{99}{104} $$ **Ответ: $6\frac{99}{104}$**