For example: -3(negative numerator) over 4 (positive denominator)
Would this whole fraction be considered negative?
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1yes ! , $\frac{-}{-} = +$ , $\frac{+}{+} = +$,$\frac{-}{+} = -$,$\frac{+}{-} = -$ – Ahmad Sep 07 '17 at 23:07
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Yes, this is because $-1$ is its own inverse in the field of reals. – Prasun Biswas Sep 07 '17 at 23:10
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Well, in general, given any integers $m,n$ with $n\neq 0,$ we define $\frac m n$ to be the unique number $q$ satisfying $$nq=m.\tag{$\heartsuit$}$$
It is hopefully obvious that if $m=0,$ then we need $q=0.$ Otherwise, let's suppose exactly one of $m,n$ is negative. What sign must $q$ have in order for $(\heartsuit)$ to be true?
Cameron Buie
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