Question 1079059

When I solve -(-2)/(2(-1/3)) I get -1/3 but my book and several online calculators all say -3. The only way to get -3 is to not use a reciprocal for the last step but that goes against the rules of division.  Which is correct -2/2/3=(-2/2)(1/3) or -2/2/3=(-2/2)(3/1) ?
Aren't I supposed to multiply by the reciprocal when dividing fractions like in -2/2/3?
<pre>You're SIMPLIFYING, not SOLVING this expression.
{{{-(-2)/(2(-1/3))}}} =====> {{{2/2(- 1/3)}}} =====> {{{matrix(1,3, 2/1, "÷", 2(- 1/3))}}} =====> {{{matrix(1,3, 2/1, "÷", (- 2)/3)}}} =====> {{{matrix(1,3, 2/1, "*", - 3/2)}}} =====> {{{highlight_green(matrix(1,5, cross(2)/1, "*", - 3/cross(2), "=", - 3))}}}