Вычислите: 1) 10/9 : 71/100 : 3/21/1000; 2) 1 4/5 : 42 3/8 : 1 3/4 : 16 1/2; 3) 14/5 : 13/8 : 15/4 : 19/2.

1) \(\frac{10}{9}:\frac{71}{100}:\frac{3}{21\cdot1000}=\frac{10}{9}\cdot\frac{100}{71}\cdot\frac{21\cdot1000}{3}=\frac{700000}{71}\).

2) \(1\frac45:\,42\frac38:\,1\frac34:\,16\frac12=\frac95:\frac{339}{8}:\frac74:\frac{33}{2}\)
\(=\frac95\cdot\frac8{339}\cdot\frac47\cdot\frac2{33}=\frac{64}{13013}\).

3) \(\frac{14}{5}:\frac{13}{8}:\frac{15}{4}:\frac{19}{2}=\frac{14}{5}\cdot\frac8{13}\cdot\frac4{15}\cdot\frac2{19}=\frac{896}{18525}\).

Ответ: 1) \(\frac{700000}{71}\); 2) \(\frac{64}{13013}\); 3) \(\frac{896}{18525}\).