б) 17 5/14 : 2 2/27 39 : 9 3/5 7/12 : 3 1/16 32 : 9 3/5 25 5/7 : 1 1/35 21 7/9 : 4 2/3

Решение:

1. \( 17 \frac{5}{14} : 2 \frac{2}{27} = \frac{243}{14} : \frac{56}{27} = \frac{243}{14} \cdot \frac{27}{56} = \frac{243 \cdot 27}{14 \cdot 56} = \frac{6561}{784} = 8 \frac{257}{784} \)
2. \( 39 : 9 \frac{3}{5} = 39 : \frac{48}{5} = 39 \cdot \frac{5}{48} = 13 \cdot \frac{5}{16} = \frac{65}{16} = 4 \frac{1}{16} \)
3. \( \frac{7}{12} : 3 \frac{1}{16} = \frac{7}{12} : \frac{49}{16} = \frac{7}{12} \cdot \frac{16}{49} = \frac{1}{3} \cdot \frac{4}{7} = \frac{4}{21} \)
4. \( 32 : 9 \frac{3}{5} = 32 : \frac{48}{5} = 32 \cdot \frac{5}{48} = 2 \cdot \frac{5}{3} = \frac{10}{3} = 3 \frac{1}{3} \)
5. \( 25 \frac{5}{7} : 1 \frac{1}{35} = \frac{180}{7} : \frac{36}{35} = \frac{180}{7} \cdot \frac{35}{36} = 5 \cdot 5 = 25 \)
6. \( 21 \frac{7}{9} : 4 \frac{2}{3} = \frac{196}{9} : \frac{14}{3} = \frac{196}{9} \cdot \frac{3}{14} = \frac{14}{3} \cdot \frac{1}{1} = \frac{14}{3} = 4 \frac{2}{3} \)