Question

Сократите алгебраические дроби

Answer 1

$1) \frac{3b}{4} \\ 5) - \frac{ {2a}^{3} }{ {b}^{2} } \\ 2) \frac{ {5a}^{2} }{3b} \\ 6) \frac{ {x}^{2} }{ {y}^{4} } \\ 3) \frac{ {4a}^{2} }{c} \\ 7) \frac{ {6m}^{2} }{5} \\ 4) \frac{9x}{ {7y}^{2} } \\ 8)\frac{1}{2p}$

Answer 2

Ответ:

$\frac{18bc}{24c} = \frac{18b}{24} = \frac{3b}{4} \\ \\ \frac{25a {}^{2}y }{15by} = \frac{25a {}^{2} }{15b} = \frac{5a {}^{2} }{3b} \\ \\ \frac{24a {}^{3} }{6ac} = \frac{24a {}^{2} }{6c} = \frac{4a {}^{2} }{c} \\ \\ \frac{27x {}^{2} y}{21xy {}^{3} } = \frac{27xy}{21y {}^{3} } = \frac{27x}{21y {}^{2} } = \frac{9x}{7y {}^{2} } \\ \\ \frac{ - 2a {}^{6} b {}^{3} }{a {}^{3}b {}^{5} } = \frac{ - 2a {}^{3} }{b {}^{2} } = - \frac{2a {}^{3} }{b {}^{2} } \\ \\ \frac{x {}^{7} y {}^{4} }{x {}^{5} y {}^{8} } = \frac{x {}^{2} y {}^{4} }{y {}^{8} } = \frac{x {}^{2} }{y {}^{4} } \\ \\ \frac{42m {}^{3}n {}^{5} }{35mn {}^{5} } = \frac{42m {}^{3} }{35m} = \frac{42m {}^{2} }{35} = \frac{6m {}^{2} }{5} \\ \\ \frac{75p {}^{4} q}{150p {}^{5} q {}^{} } = \frac{p {}^{4} \times 1 }{2p {}^{5} } = \frac{1}{2p}$