Question #cd69e

1 Answer
sente
Oct 14, 2016

Yes, the answer will be positive.

Explanation:

The quotient of any two negative real numbers will be positive. Mixed numbers, fractions, and decimals are all just different ways of writing down a given value. For example, #1 1/2 = 3/2 = 1.5#. How you write it down does not change the rules you apply when performing operations.

Given any #a>0# and #b>0#, we have

#(-a)/(-b) = (-1*a)/(-1*b) = (-1)/(-1)*a/b = 1*a/b = a/b>0#

For the given exercise of #-2 2/3 -: -1/2#, we have

#-2 2/3 -: -1/2 = (-2 2/3)/(-1/2)#

#=(-8/3)/(-1/2)#

#=(-1)/(-1)*(8/3)/(1/2)#

#=(8/3)/(1/2)#

#=(8/3*2)/(1/2*2)#

#=16/3#

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