Вычислите: а) $(4\frac{3}{4} - 3\frac{1}{12}) \cdot 4$

а) $$\left(4\frac{3}{4} - 3\frac{1}{12}\right) \cdot 4 = \left(\frac{19}{4} - \frac{37}{12}\right) \cdot 4 = \left(\frac{57}{12} - \frac{37}{12}\right) \cdot 4 = \frac{20}{12} \cdot 4 = \frac{5}{3} \cdot 4 = \frac{20}{3} = 6\frac{2}{3}$$ **Ответ:** $6\frac{2}{3}$ б) $$\left(5\frac{14}{19} - 5\frac{1}{38}\right) \cdot 38 = \left(\frac{109}{19} - \frac{191}{38}\right) \cdot 38 = \left(\frac{218}{38} - \frac{191}{38}\right) \cdot 38 = \frac{27}{38} \cdot 38 = 27$$ **Ответ:** $27$ в) $$7\frac{4}{19} \cdot 6\frac{1}{4} + 4\frac{15}{19} \cdot 6\frac{1}{4} = 6\frac{1}{4} \cdot \left(7\frac{4}{19} + 4\frac{15}{19}\right) = \frac{25}{4} \cdot \left(7+4+\frac{4}{19}+\frac{15}{19}\right) = \frac{25}{4} \cdot \left(11+\frac{19}{19}\right) = \frac{25}{4} \cdot (11+1) = \frac{25}{4} \cdot 12 = 25 \cdot 3 = 75$$ **Ответ:** $75$ г) $$3\frac{1}{14} \cdot 17\frac{7}{29} - 3\frac{1}{14} \cdot 3\frac{7}{29} = 3\frac{1}{14} \cdot \left(17\frac{7}{29} - 3\frac{7}{29}\right) = 3\frac{1}{14} \cdot (17-3) = 3\frac{1}{14} \cdot 14 = \frac{43}{14} \cdot 14 = 43$$ **Ответ:** $43$ д) $$5\frac{5}{6} \cdot 3 = \frac{35}{6} \cdot 3 = \frac{35}{2} = 17\frac{1}{2}$$ **Ответ:** $17\frac{1}{2}$ е) $$7\frac{7}{11} \cdot 11 = \frac{84}{11} \cdot 11 = 84$$ **Ответ:** $84$ ж) $$\left(1\frac{1}{2} + 2\frac{1}{16}\right) \cdot 2\frac{10}{11} = \left(\frac{3}{2} + \frac{33}{16}\right) \cdot \frac{32}{11} = \left(\frac{24}{16} + \frac{33}{16}\right) \cdot \frac{32}{11} = \frac{57}{16} \cdot \frac{32}{11} = \frac{57 \cdot 2}{11} = \frac{114}{11} = 10\frac{4}{11}$$ **Ответ:** $10\frac{4}{11}$ з) $$2\frac{2}{3} \cdot \left(2\frac{1}{16} - 1\frac{7}{8}\right) = \frac{8}{3} \cdot \left(\frac{33}{16} - \frac{15}{8}\right) = \frac{8}{3} \cdot \left(\frac{33}{16} - \frac{30}{16}\right) = \frac{8}{3} \cdot \frac{3}{16} = \frac{8 \cdot 3}{3 \cdot 16} = \frac{1}{2}$$ **Ответ:** $\frac{1}{2}$