[tex]\frac{\frac{1}{2}-\frac{3}{4}}{\frac{5}{6}}[/tex]
[tex]\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}\\\\=\frac{\left(\frac{1}{2}-\frac{3}{4}\right)\cdot \:6}{5}\\\\=\frac{6\left(-\frac{1}{4}\right)}{5}\\\\\mathrm{Quitar\:los\:parentesis}:\quad \left(-a\right)=-a\\\\=\frac{-\frac{1}{4}\cdot \:6}{5}\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{-a}{b}=-\frac{a}{b}\\\\=-\frac{\frac{1}{4}\cdot \:6}{5}\\\\=-\frac{\frac{3}{2}}{5}\\\\=-\frac{3}{10}[/tex]
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[tex]\frac{\frac{1}{2}-\frac{3}{4}}{\frac{5}{6}}[/tex]
[tex]\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}\\\\=\frac{\left(\frac{1}{2}-\frac{3}{4}\right)\cdot \:6}{5}\\\\=\frac{6\left(-\frac{1}{4}\right)}{5}\\\\\mathrm{Quitar\:los\:parentesis}:\quad \left(-a\right)=-a\\\\=\frac{-\frac{1}{4}\cdot \:6}{5}\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{-a}{b}=-\frac{a}{b}\\\\=-\frac{\frac{1}{4}\cdot \:6}{5}\\\\=-\frac{\frac{3}{2}}{5}\\\\=-\frac{3}{10}[/tex]
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