Сократите дроби: 1) 7x/(21y); 2) 16ab/(4ac); 3) 25n³/(15n⁶); 4) 8ab³c²/(16a²bc³); 5) 48a⁵b⁷/(32a³b⁸); 6) 34m⁹n³/(54m⁴n⁷).

1. Сокращаем числовой множитель и переменную: \(\frac{7x}{21y}=\frac{x}{3y}\).
2. \(\frac{16ab}{4ac}=\frac{4b}{c}\).
3. \(\frac{25n^3}{15n^6}=\frac{5}{3n^3}\).
4. \(\frac{8ab^3c^2}{16a^2bc^3}=\frac{b^2}{2ac}\).
5. \(\frac{48a^5b^7}{32a^3b^8}=\frac{3a^2}{2b}\).
6. \(\frac{34m^9n^3}{54m^4n^7}=\frac{17m^5}{27n^4}\).

Ответ: 1) \(\frac{x}{3y}\); 2) \(\frac{4b}{c}\); 3) \(\frac{5}{3n^3}\); 4) \(\frac{b^2}{2ac}\); 5) \(\frac{3a^2}{2b}\); 6) \(\frac{17m^5}{27n^4}\).