The OCR of the image is: --- 30 32. 2.9 3 14 4.15 5 16 3.8 7 21 12 23 1 17 39 0 2.4 55 3.9 : 7 14 5.1 8 40 3.2 : 17 51 2.4 : 11 77 3 4 2 ---

Решение:

Перед нами столбик примеров с дробями и десятичными числами. Решим каждый пример.

1. \( \frac{2}{3} : \frac{9}{14} = \frac{2}{3} \times \frac{14}{9} = \frac{2 \times 14}{3 \times 9} = \frac{28}{27} \)
2. \( \frac{4}{5} : \frac{15}{16} = \frac{4}{5} \times \frac{16}{15} = \frac{4 \times 16}{5 \times 15} = \frac{64}{75} \)
3. \( \frac{3}{7} : \frac{8}{21} = \frac{3}{7} \times \frac{21}{8} = \frac{3 \times 21}{7 \times 8} = \frac{3 \times 3}{1 \times 8} = \frac{9}{8} \)
4. \( \frac{12}{23} \cdot 1 = \frac{12}{23} \)
5. \( \frac{17}{39} \cdot 0 = 0 \)
6. \( \frac{2}{5} : \frac{4}{5} = \frac{2}{5} \times \frac{5}{4} = \frac{2 \times 5}{5 \times 4} = \frac{2}{4} = \frac{1}{2} \)
7. \( \frac{3}{7} : \frac{9}{14} = \frac{3}{7} \times \frac{14}{9} = \frac{3 \times 14}{7 \times 9} = \frac{1 \times 2}{1 \times 3} = \frac{2}{3} \)
8. \( \frac{5}{8} : \frac{1}{40} = \frac{5}{8} \times 40 = \frac{5 \times 40}{8} = 5 \times 5 = 25 \)
9. \( \frac{3}{17} : \frac{2}{51} = \frac{3}{17} \times \frac{51}{2} = \frac{3 \times 51}{17 \times 2} = \frac{3 \times 3}{1 \times 2} = \frac{9}{2} \)
10. \( \frac{2}{11} : \frac{4}{77} = \frac{2}{11} \times \frac{77}{4} = \frac{2 \times 77}{11 \times 4} = \frac{1 \times 7}{1 \times 2} = \frac{7}{2} \)
11. \( \frac{3}{4} \cdot 2 = \frac{3 \times 2}{4} = \frac{6}{4} = \frac{3}{2} \)

Ответ: \( \frac{28}{27} \); \( \frac{64}{75} \); \( \frac{9}{8} \); \( \frac{12}{23} \); 0; \( \frac{1}{2} \); \( \frac{2}{3} \); 25; \( \frac{9}{2} \); \( \frac{7}{2} \); \( \frac{3}{2} \).