1. Сократите дробь: 1) 6m/(18n); 2) 14ab/(2at); 3) 16p⁸/(48p⁵); 4) 4mn²q/(28m²nq³); 5) 33a⁵b⁸/(44a⁴b⁷); 6) 34x⁸y⁶/(51x⁸y⁸).

Сокращаем числовые коэффициенты и используем правило \(a^r/a^s=a^{r-s}\).

1. \(\dfrac{6m}{18n}=\dfrac{m}{3n}\).
2. \(\dfrac{14ab}{2at}=\dfrac{7b}{t}\).
3. \(\dfrac{16p^8}{48p^5}=\dfrac{p^3}{3}\).
4. \(\dfrac{4mn^2q}{28m^2nq^3}=\dfrac{n}{7mq^2}\).
5. \(\dfrac{33a^5b^8}{44a^4b^7}=\dfrac{3ab}{4}\).
6. \(\dfrac{34x^8y^6}{51x^8y^8}=\dfrac{2}{3y^2}\).

Ответ: 1) \(\dfrac{m}{3n}\); 2) \(\dfrac{7b}{t}\); 3) \(\dfrac{p^3}{3}\); 4) \(\dfrac{n}{7mq^2}\); 5) \(\dfrac{3ab}{4}\); 6) \(\dfrac{2}{3y^2}\).