Найдите значение выражения: 1) 2 1 4 : 3 8 : 1 2 ; 2) 2 1 4 : (3 8 : 1 2 ); 3) (6 3 4 - 5 1 8 ): 9 32 : 2 1 5 ; 4) (3 1 4 + 2 1 6 ): 2 3 5 - 2 3 . 4 9

3. Найдите значение выражения:

1. \( 2\frac{1}{4} : \frac{3}{8} : \frac{1}{2} = \frac{9}{4} : \frac{3}{8} : \frac{1}{2} = \frac{9}{4} \cdot \frac{8}{3} \cdot 2 = \frac{9 \cdot 8 \cdot 2}{4 \cdot 3} = 3 \cdot 2 \cdot 2 = 12 \)
2. \( 2\frac{1}{4} : (\frac{3}{8} : \frac{1}{2}) = \frac{9}{4} : (\frac{3}{8} \cdot 2) = \frac{9}{4} : \frac{3}{4} = \frac{9}{4} \cdot \frac{4}{3} = 3 \)
3. \( (6\frac{3}{4} - 5\frac{1}{8}) : \frac{9}{32} : 2\frac{1}{5} = (\frac{27}{4} - \frac{41}{8}) : \frac{9}{32} : \frac{11}{5} = (\frac{54-41}{8}) : \frac{9}{32} : \frac{11}{5} = \frac{13}{8} : \frac{9}{32} : \frac{11}{5} = \frac{13}{8} \cdot \frac{32}{9} \cdot \frac{5}{11} = \frac{13 \cdot 32 \cdot 5}{8 \cdot 9 \cdot 11} = \frac{13 \cdot 4 \cdot 5}{9 \cdot 11} = \frac{260}{99} = 2\frac{62}{99} \)
4. \( (3\frac{1}{4} + 2\frac{1}{6}) : (2\frac{3}{5} - \frac{2}{3} \cdot \frac{4}{9}) = (\frac{13}{4} + \frac{13}{6}) : (\frac{13}{5} - \frac{8}{27}) = (\frac{39+26}{12}) : (\frac{13 \cdot 27 - 8 \cdot 5}{135}) = \frac{65}{12} : (\frac{351-40}{135}) = \frac{65}{12} : \frac{311}{135} = \frac{65}{12} \cdot \frac{135}{311} = \frac{65 \cdot 135}{12 \cdot 311} = \frac{65 \cdot 45}{4 \cdot 311} = \frac{2925}{1244} \)