Давай решим эти примеры по порядку:
1) \[ \frac{9}{16} \times \frac{8}{27} = \frac{9 \times 8}{16 \times 27} = \frac{1 \times 1}{2 \times 3} = \frac{1}{6} \]
2) \[ \frac{12}{25} \times \frac{5}{18} = \frac{12 \times 5}{25 \times 18} = \frac{2 \times 1}{5 \times 3} = \frac{2}{15} \]
3) \[ \frac{19}{20} \times 1 = \frac{19}{20} \]
4) \[ 0 \times \frac{7}{13} = 0 \]
5) \[ \frac{8}{21} : \frac{16}{35} = \frac{8}{21} \times \frac{35}{16} = \frac{8 \times 35}{21 \times 16} = \frac{1 \times 5}{3 \times 2} = \frac{5}{6} \]
6) \[ \frac{17}{24} : \frac{1}{48} = \frac{17}{24} \times \frac{48}{1} = \frac{17 \times 48}{24 \times 1} = 17 \times 2 = 34 \]
7) \[ \frac{5}{6} \times 12 = \frac{5 \times 12}{6} = 5 \times 2 = 10 \]
8) \[ 2 \frac{17}{18} : 1 = \frac{2 \times 18 + 17}{18} = \frac{36 + 17}{18} = \frac{53}{18} = 2 \frac{17}{18} \]
9) \[ 4 \frac{1}{2} : 6 \frac{3}{4} = \frac{4 \times 2 + 1}{2} : \frac{6 \times 4 + 3}{4} = \frac{9}{2} : \frac{27}{4} = \frac{9}{2} \times \frac{4}{27} = \frac{9 \times 4}{2 \times 27} = \frac{1 \times 2}{1 \times 3} = \frac{2}{3} \]
Ответ: 1/6, 2/15, 19/20, 0, 5/6, 34, 10, 2 17/18, 2/3