1. Выполнить деление: 1) 3/4 : 9/8 2) 6/25 : 12/35 3) 24/65 : 4/13 4) 49/8 : 32/63 5) 18 : 6/7 6) 9/16 : 45 7) 3 1/3 : 2 6/7 8) 3 5/9 : 8/27

Решение:

• 1) \( \frac{3}{4} : \frac{9}{8} = \frac{3}{4} \times \frac{8}{9} = \frac{3 \times 8}{4 \times 9} = \frac{24}{36} = \frac{2}{3} \)
• 2) \( \frac{6}{25} : \frac{12}{35} = \frac{6}{25} \times \frac{35}{12} = \frac{6 \times 35}{25 \times 12} = \frac{210}{300} = \frac{7}{10} \)
• 3) \( \frac{24}{65} : \frac{4}{13} = \frac{24}{65} \times \frac{13}{4} = \frac{24 \times 13}{65 \times 4} = \frac{312}{260} = \frac{6}{5} = 1 \frac{1}{5} \)
• 4) \( \frac{49}{8} : \frac{32}{63} = \frac{49}{8} \times \frac{63}{32} = \frac{49 \times 63}{8 \times 32} = \frac{3087}{256} = 12 \frac{3}{256} \)
• 5) \( 18 : \frac{6}{7} = 18 \times \frac{7}{6} = \frac{18 \times 7}{6} = \frac{126}{6} = 21 \)
• 6) \( \frac{9}{16} : 45 = \frac{9}{16} \times \frac{1}{45} = \frac{9 \times 1}{16 \times 45} = \frac{9}{720} = \frac{1}{80} \)
• 7) \( 3 \frac{1}{3} : 2 \frac{6}{7} = \frac{10}{3} : \frac{20}{7} = \frac{10}{3} \times \frac{7}{20} = \frac{10 \times 7}{3 \times 20} = \frac{70}{60} = \frac{7}{6} = 1 \frac{1}{6} \)
• 8) \( 3 \frac{5}{9} : \frac{8}{27} = \frac{32}{9} : \frac{8}{27} = \frac{32}{9} \times \frac{27}{8} = \frac{32 \times 27}{9 \times 8} = \frac{864}{72} = 12 \)

Ответ: 1) 2/3, 2) 7/10, 3) 1 1/5, 4) 12 3/256, 5) 21, 6) 1/80, 7) 1 1/6, 8) 12