How do you evaluate #\frac { - 27( - 2) - ( - 7) ( - 2) } { - 2( 1) - 2( 3) }#?

1 Answer
Nov 19, 2017

#-5#

Explanation:

#-27*(-2) => (-)*(-)=(+) AND (27*2=54)#
#=>#
#-27*(-2) = +54#


#-7*(-2) => (-)*(-)=(+) AND (7*2=14)#
#=>#
#-7*(-2) = +14#


#-2*(1) => (-)*(+)=(-) AND (2*1=2)#
#=>#
#-2*(1) = -2#


#-2*(3) => (-)*(+)=(-) AND (2*3=6)#
#=>#
#-2*(3) = -6#


#=>#
#(-27(-2)-(-7)(-2))/(-2(1)-2(3))=((+54)-(+14))/((-2)+(-6))=(54-14)/(-2-6)#
#=>#
#=(40)/(-8)=(-1)*(40/8)=(-1)*(5)=-5#