1. Выполните действия: a) $$9\frac{11}{16} - 2\frac{2}{16} + 4\frac{3}{16}$$; б) $$6\frac{5}{14} - 2\frac{11}{14}$$; в) $$3\frac{3}{5} \cdot 1\frac{1}{9}$$; г) $$\frac{5}{9} : \frac{10}{27}$$

Решение: а) $$9\frac{11}{16} - 2\frac{2}{16} + 4\frac{3}{16} = (9-2+4) + (\frac{11}{16} - \frac{2}{16} + \frac{3}{16}) = 11 + \frac{11-2+3}{16} = 11 + \frac{12}{16} = 11 + \frac{3}{4} = 11\frac{3}{4}$$ б) $$6\frac{5}{14} - 2\frac{11}{14} = 6\frac{5}{14} - 2\frac{11}{14} = 5\frac{19}{14} - 2\frac{11}{14} = (5-2) + (\frac{19}{14} - \frac{11}{14}) = 3 + \frac{8}{14} = 3 + \frac{4}{7} = 3\frac{4}{7}$$ в) $$3\frac{3}{5} \cdot 1\frac{1}{9} = \frac{3\cdot 5 + 3}{5} \cdot \frac{1\cdot 9 + 1}{9} = \frac{18}{5} \cdot \frac{10}{9} = \frac{18 \cdot 10}{5 \cdot 9} = \frac{2 \cdot 2}{1 \cdot 1} = 4$$ г) $$\frac{5}{9} : \frac{10}{27} = \frac{5}{9} \cdot \frac{27}{10} = \frac{5 \cdot 27}{9 \cdot 10} = \frac{1 \cdot 3}{1 \cdot 2} = \frac{3}{2} = 1\frac{1}{2}$$