Сократите алгебраические дроби (38.1-38.2): 38.1. 1) \frac{12a^3}{18a^2} 2) \frac{10xy^2}{15xy} 3) \frac{4a^2c^4}{8a^3c^2} 4) \frac{5p^2q}{10pq} 5) \frac{48a^4c^3}{36ac^4} 6) \frac{9axy^2}{6axy^3} 7) \frac{24a^3b^5}{12xy} 8) \frac{63x^4y^2}{84x^5y^2} 38.2. 1) \frac{18bc}{24c} 2) \frac{25a^2xy}{15bxy} 3) \frac{2a^3b^5}{a^3b^6} 4) \frac{21x^6y^4}{27x^5y^5} 5) \frac{42m^3n^5}{35mn^6} 6) \frac{x^7y^3}{x^6yb^2} 7) \frac{42m^3n^5}{35mn^6} 8) \frac{75p^4q}{150p^7q^4}

Ответ: смотри решение

1. \(\frac{12a^3}{18a^2} = \frac{2a}{3}\)
2. \(\frac{10xy^2}{15xy} = \frac{2y}{3}\)
3. \(\frac{4a^2c^4}{8a^3c^2} = \frac{c^2}{2a}\)
4. \(\frac{5p^2q}{10pq} = \frac{p}{2}\)
5. \(\frac{48a^4c^3}{36ac^4} = \frac{4a^3}{3c}\)
6. \(\frac{9axy^2}{6axy^3} = \frac{3}{2y}\)
7. \(\frac{24a^3b^5}{12xy} = \frac{2a^3b^5}{xy}\)
8. \(\frac{63x^4y^2}{84x^5y^2} = \frac{3}{4x}\)
9. \(\frac{18bc}{24c} = \frac{3b}{4}\)
10. \(\frac{25a^2xy}{15bxy} = \frac{5a^2}{3b}\)
11. \(\frac{2a^3b^5}{a^3b^6} = \frac{2}{b}\)
12. \(\frac{21x^6y^4}{27x^5y^5} = \frac{7x}{9y}\)
13. \(\frac{42m^3n^5}{35mn^6} = \frac{6m^2}{5n}\)
14. \(\frac{x^7y^3}{x^6yb^2} = \frac{xy^2}{b^2}\)
15. \(\frac{42m^3n^5}{35mn^6} = \frac{6m^2}{5n}\)
16. \(\frac{75p^4q}{150p^7q^4} = \frac{1}{2p^3q^3}\)

Ответ: смотри решение