1. Выполните деление: 1) 4/9 : 7/8; 2) 6/25 : 12/35; 3) 8/65 : 4/13; 4) 48/49 : 32/63.

Решение:

• 1) \( \frac{4}{9} : \frac{7}{8} = \frac{4}{9} \times \frac{8}{7} = \frac{32}{63} \)
• 2) \( \frac{6}{25} : \frac{12}{35} = \frac{6}{25} \times \frac{35}{12} = \frac{6 \times 35}{25 \times 12} = \frac{1 \times 7}{5 \times 2} = \frac{7}{10} \)
• 3) \( \frac{8}{65} : \frac{4}{13} = \frac{8}{65} \times \frac{13}{4} = \frac{8 \times 13}{65 \times 4} = \frac{2 \times 1}{5 \times 1} = \frac{2}{5} \)
• 4) \( \frac{48}{49} : \frac{32}{63} = \frac{48}{49} \times \frac{63}{32} = \frac{48 \times 63}{49 \times 32} = \frac{3 \times 9}{7 \times 2} = \frac{27}{14} \)

Ответ: 1) \( \frac{32}{63} \) 2) \( \frac{7}{10} \) 3) \( \frac{2}{5} \) 4) \( \frac{27}{14} \)