Упражнение 134

\({\largeа)}\ \frac{5m}{6n}:\frac{15m^2}{8}=\frac{5m}{6n}\cdot\frac{8}{15m^2}=\frac{1\cdot4}{3n\cdot3m}=\frac{4}{9mn};\)

\({\largeб)}\ \frac{14}{9x^3}:\frac{7x}{2y^2}=\frac{14}{9x^3}\cdot\frac{2y^2}{7x}=\frac{2\cdot2y^2}{9x^3\cdot{x}}=\frac{4y^2}{9x^4};\)

\({\largeв)}\ \frac{a^2}{12b}:\frac{ab}{36}=\frac{a^2}{12b}\cdot\frac{36}{ab}=\frac{a\cdot3}{b\cdot{b}}=\frac{3a}{b^2};\)

\({\largeг)}\ \frac{3x}{10a^3}:\frac{1}{5a^2}=\frac{3x}{10a^3}\cdot\frac{5a^2}{1}=\frac{3x\cdot1}{2a\cdot1}=\frac{3x}{2a};\)

\({\largeд)}\ \frac{11x}{4y^2}:(22x^2)=\frac{11x}{4y^2}:\frac{22x^2}{1}=\frac{11x}{4y^2}\cdot\frac{1}{22x^2}=\frac{1\cdot1}{4y^2\cdot2x}=\frac{1}{8xy^2};\)

\({\largeе)}\ 27a^3:\frac{18a^4}{7b^2}=\frac{27a^3}{1}:\frac{18a^4}{7b^2}=\frac{27a^3}{1}\cdot\frac{7b^2}{18a^4}=\frac{3\cdot7b^2}{1\cdot2a}=\frac{21b^2}{2a};\)

\({\largeж)}\ \frac{18c^4}{7d}:(9c^2d)=\frac{18c^4}{7d}:\frac{9c^2d}{1}=\frac{18c^4}{7d}\cdot\frac{1}{9c^2d}=\frac{2c^2\cdot1}{7d\cdot{d}}=\frac{2c^2}{7d^2};\)

\({\largeз)}\ 35x^5y:\frac{7x^3}{34}=\frac{35x^5y}{1}:\frac{7x^3}{34}=\frac{35x^5y}{1}\cdot\frac{34}{7x^3}=\frac{5x^2y\cdot34}{1\cdot1}=170x^2y.\)