Вычислите: 75/150 · 5/50 =; 3/20 · 17/10 =; 8/11 · 4/99 =; 16/17 · 7/34 =; 12/26 · 8/13 =; 9/42 · 12/21 =; 17/50 · 18/51 =; 3/10 · 27/30 =; 4/11 · 5/22 =; 63/93 · 30/31 =.

1. \(\frac{75}{150}\cdot\frac{5}{50}=\frac{1}{2}\cdot\frac{1}{10}=\frac{1}{20}\).
2. \(\frac{3}{20}\cdot\frac{17}{10}=\frac{51}{200}\).
3. \(\frac{8}{11}\cdot\frac{4}{99}=\frac{32}{1089}\).
4. \(\frac{16}{17}\cdot\frac{7}{34}=\frac{56}{289}\).
5. \(\frac{12}{26}\cdot\frac{8}{13}=\frac{6}{13}\cdot\frac{8}{13}=\frac{48}{169}\).
6. \(\frac{9}{42}\cdot\frac{12}{21}=\frac{3}{14}\cdot\frac{4}{7}=\frac{6}{49}\).
7. \(\frac{17}{50}\cdot\frac{18}{51}=\frac{1}{3}\cdot\frac{18}{50}=\frac{3}{25}\).
8. \(\frac{3}{10}\cdot\frac{27}{30}=\frac{81}{300}=\frac{27}{100}\).
9. \(\frac{4}{11}\cdot\frac{5}{22}=\frac{20}{242}=\frac{10}{121}\).
10. \(\frac{63}{93}\cdot\frac{30}{31}=\frac{21}{31}\cdot\frac{30}{31}=\frac{630}{961}\).

Ответ: \(\frac{1}{20};\ \frac{51}{200};\ \frac{32}{1089};\ \frac{56}{289};\ \frac{48}{169};\ \frac{6}{49};\ \frac{3}{25};\ \frac{27}{100};\ \frac{10}{121};\ \frac{630}{961}\).