SOLUTION: 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 aga

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: 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 aga      Log On


   



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?

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
That is 2/-(2/3)=-3
The parentheses matter. You can cancel the numerator and denominator +2, and you then have 1/(-1/3), and that is -3.
The numerator is clearly +2
the denominator is 2*-1/3=-2/3
When you divide, you take the reciprocal of the denominator and multiply.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

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?
You're SIMPLIFYING, not SOLVING this expression.
-%28-2%29%2F%282%28-1%2F3%29%29 =====> 2%2F2%28-+1%2F3%29 =====> matrix%281%2C3%2C+2%2F1%2C+%22%F7%22%2C+2%28-+1%2F3%29%29 =====> matrix%281%2C3%2C+2%2F1%2C+%22%F7%22%2C+%28-+2%29%2F3%29 =====> matrix%281%2C3%2C+2%2F1%2C+%22%2A%22%2C+-+3%2F2%29 =====>