Вычисли выражения a, б, в, г, д, е.

a) $$(4 \frac{1}{4} - 3 \frac{3}{12}) \cdot 4 = (4 \frac{3}{12} - 3 \frac{3}{12}) \cdot 4 = 1 \cdot 4 = 4$$ б) $$(5 \frac{14}{19} - 5 \frac{1}{38}) \cdot 38 = (5 \frac{28}{38} - 5 \frac{1}{38}) \cdot 38 = \frac{27}{38} \cdot 38 = 27$$ в) $$6 \frac{1}{4} + 4 \frac{1}{19} \cdot 15 \frac{4}{19} = 6 \frac{1}{4} + \frac{77}{19} \cdot \frac{289}{19} = 6 \frac{1}{4} + \frac{77 \cdot 19}{19 \cdot 19} = 6 \frac{1}{4} + \frac{77}{1} = 6 \frac{1}{4} + 77 = 83 \frac{1}{4}$$ г) $$3 \frac{1}{14} \cdot 17 \frac{7}{29} - 3 \frac{3}{14} = \frac{43}{14} \cdot \frac{500}{29} - 3 \frac{3}{14} = \frac{43 \cdot 250}{7 \cdot 29} - \frac{45}{14} = \frac{10750}{203} - \frac{45}{14} = \frac{150500 - 9135}{2842} = \frac{141365}{2842} = 49 \frac{2177}{2842}$$ д) $$(1 \frac{1}{2} + 2 \frac{1}{16}) \cdot 2 \frac{10}{11} = (\frac{3}{2} + \frac{33}{16}) \cdot \frac{32}{11} = (\frac{24}{16} + \frac{33}{16}) \cdot \frac{32}{11} = \frac{57}{16} \cdot \frac{32}{11} = \frac{57 \cdot 2}{1 \cdot 11} = \frac{114}{11} = 10 \frac{4}{11}$$ e) $$2 \frac{2}{3} \cdot (2 \frac{1}{16} - 1 \frac{7}{8}) = \frac{8}{3} \cdot (\frac{33}{16} - \frac{15}{8}) = \frac{8}{3} \cdot (\frac{33}{16} - \frac{30}{16}) = \frac{8}{3} \cdot \frac{3}{16} = \frac{1}{2}$$