83. Выполните деление:

Решение:

1. \( 9 : \frac{3}{4} = 9 \cdot \frac{4}{3} = \frac{9 \cdot 4}{3} = 3 \cdot 4 = 12 \)
2. \( 2 : \frac{8}{17} = 2 \cdot \frac{17}{8} = \frac{2 \cdot 17}{8} = \frac{17}{4} \)
3. \( \frac{9}{16} : 36 = \frac{9}{16} \cdot \frac{1}{36} = \frac{9}{16 \cdot 36} = \frac{1}{16 \cdot 4} = \frac{1}{64} \)
4. \( 2\frac{13}{16} : 4\frac{3}{8} = \frac{45}{16} : \frac{35}{8} = \frac{45}{16} \cdot \frac{8}{35} = \frac{45 \cdot 8}{16 \cdot 35} = \frac{9 \cdot 1}{2 \cdot 7} = \frac{9}{14} \)
5. \( 3\frac{1}{7} : 2\frac{6}{7} = \frac{22}{7} : \frac{20}{7} = \frac{22}{7} \cdot \frac{7}{20} = \frac{22}{20} = \frac{11}{10} \)
6. \( \frac{3}{7} : \frac{9}{28} = \frac{3}{7} \cdot \frac{28}{9} = \frac{3 \cdot 28}{7 \cdot 9} = \frac{1 \cdot 4}{1 \cdot 3} = \frac{4}{3} \)

Ответ: 1) 12; 2) \( \frac{17}{4} \); 3) \( \frac{1}{64} \); 4) \( \frac{9}{14} \); 5) \( \frac{11}{10} \); 6) \( \frac{4}{3} \).