Question

cuánto es 7/4 (-2/5)-3/8:9/4?​

Answer 1

Respuesta:

$\frac{7}{4}\:\left(-\frac{2}{5}\right)-\frac{3}{8}:\:\frac{9}{4}\\\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{7}{4}\left(-\frac{2}{5}\right)-\frac{3}{8}\times \frac{4}{9}\\\\\mathrm{Quitar\:los\:parentesis}:\quad \left(-a\right)=-a\\=-\frac{7}{4}\times \frac{2}{5}-\frac{3}{8}\times \frac{4}{9}\\\\=-\frac{7}{10}-\frac{1}{6}\\\\=-\frac{21}{30}-\frac{5}{30}$

$\mathrm{Ya\:que\:los\:denominadores\:son\:iguales,\:combinar\:las\:fracciones}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{-21-5}{30}\\\\=\frac{-26}{30}\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{26}{30}\\\\=-\frac{13}{15}\\\\\\Resultado=-\frac{13}{15}$