Деление дробей ение:

Решение:

1. \( \frac{6}{25} : \frac{12}{35} = \frac{6}{25} \cdot \frac{35}{12} = \frac{6 \cdot 35}{25 \cdot 12} = \frac{1 \cdot 7}{5 \cdot 2} = \frac{7}{10} \)

2. \( \frac{8}{65} : \frac{4}{13} = \frac{8}{65} \cdot \frac{13}{4} = \frac{8 \cdot 13}{65 \cdot 4} = \frac{2 \cdot 1}{5 \cdot 1} = \frac{2}{5} \)

3. \( \frac{48}{49} : \frac{32}{63} = \frac{48}{49} \cdot \frac{63}{32} = \frac{48 \cdot 63}{49 \cdot 32} = \frac{3 \cdot 9}{7 \cdot 2} = \frac{27}{14} \)

4. \( \frac{9}{16} : 36 = \frac{9}{16 \cdot 36} = \frac{1}{16 \cdot 4} = \frac{1}{64} \)

5. \( 3 \frac{1}{3} : 2 \frac{6}{7} = \frac{10}{3} : \frac{20}{7} = \frac{10}{3} \cdot \frac{7}{20} = \frac{10 \cdot 7}{3 \cdot 20} = \frac{1 \cdot 7}{3 \cdot 2} = \frac{7}{6} \)

6. \( 2 \frac{13}{16} : 4 \frac{3}{8} = \frac{45}{16} : \frac{35}{8} = \frac{45}{16} \cdot \frac{8}{35} = \frac{45 \cdot 8}{16 \cdot 35} = \frac{9 \cdot 1}{2 \cdot 7} = \frac{9}{14} \)

7. \( 3 \frac{6}{7} : \frac{9}{28} = \frac{27}{7} : \frac{9}{28} = \frac{27}{7} \cdot \frac{28}{9} = \frac{27 \cdot 28}{7 \cdot 9} = 3 \cdot 4 = 12 \)