1. Вычислите: 1) \(\frac{4}{27} : \frac{9}{16}\) 2) \(\frac{13}{16} \cdot 32\) 3) \(\frac{12}{35} : \frac{2}{5}\) 4) \(\frac{15}{17} : 5\) 5) \(4 : \frac{20}{21}\)

1. Вычисление значений выражений:

1. \( \frac{4}{27} : \frac{9}{16} = \frac{4}{27} \cdot \frac{16}{9} = \frac{4 \cdot 16}{27 \cdot 9} = \frac{64}{243} \)
2. \( \frac{13}{16} \cdot 32 = \frac{13 \cdot 32}{16} = 13 \cdot 2 = 26 \)
3. \( \frac{12}{35} : \frac{2}{5} = \frac{12}{35} \cdot \frac{5}{2} = \frac{12 \cdot 5}{35 \cdot 2} = \frac{6 \cdot 1}{7 \cdot 1} = \frac{6}{7} \)
4. \( \frac{15}{17} : 5 = \frac{15}{17} \cdot \frac{1}{5} = \frac{15 \cdot 1}{17 \cdot 5} = \frac{3 \cdot 1}{17 \cdot 1} = \frac{3}{17} \)
5. \( 4 : \frac{20}{21} = 4 \cdot \frac{21}{20} = \frac{4 \cdot 21}{20} = \frac{1 \cdot 21}{5} = \frac{21}{5} = 4\frac{1}{5} \)

Ответ: 1) \(\frac{64}{243}\); 2) 26; 3) \(\frac{6}{7}\); 4) \(\frac{3}{17}\); 5) \(4\frac{1}{5}\).