Question

resolver:
((-3)-(-5)x(-3+4))-8 +9-((-7+5-3-4)) : (-5+3) (+35)x(+2) : (-5)-(-12) ((-4)-(-3) x(-8+7))-11

Answer 1

Respuesta:   $-\frac{64391}{700}\quad \left(\mathrm{Decimal:\quad }\:-91.98714\dots \right)$

Explicación paso a paso:

$\left(\left(-3\right)-\left(-5\right)\cdot \left(-3+4\right)\right)-8\:+9-\left(\left(-7+5-3-4\right)\right)\::\:\left(-5+3\right)\:\left(+35\right)\cdot \left(+2\right)\::\:\left(-5\right)-\left(-12\right)\:\left(\left(-4\right)-\left(-3\right)\:\cdot \left(-8+7\right)\right)-11$

$\mathrm{Quitar\:los\:parentesis}:\quad \left(a\right)=a,\:-\left(-a\right)=a$

$=-3+5\left(-3+4\right)-8+9-\frac{\frac{-7+5-3-4}{\left(-5+3\right)\cdot \:35\cdot \:2}}{-5}+12\left(-4+3\left(-8+7\right)\right)-11$

$5\left(-3+4\right)=5$

$\frac{\frac{-7+5-3-4}{\left(-5+3\right)\cdot \:35\cdot \:2}}{-5}=-\frac{9}{700}$

$12\left(-4+3\left(-8+7\right)\right)=-84$

$=-3+5-8+9-\left(-\frac{9}{700}\right)-84-11$

$\mathrm{Aplicar\:la\:regla}\:-\left(-a\right)=a$

$=-3+5-8+9+\frac{9}{700}-84-11$

$\mathrm{Sumar/restar\:lo\:siguiente:}\:-3+5-8+9-84-11=-92$

$=\frac{9}{700}-92$

$\mathrm{Convertir\:a\:fraccion}:\quad \:92=\frac{92\cdot \:700}{700}$

$=-\frac{92\cdot \:700}{700}+\frac{9}{700}$

$\mathrm{Ya\:que\:los\:denominadores\:son\:iguales,\:combinar\:las\:fracciones}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{-92\cdot \:700+9}{700}$

$-92\cdot \:700+9=-64391$

$=\frac{-64391}{700}$

$\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{-a}{b}=-\frac{a}{b}$

$=-\frac{64391}{700}$