Question

Question #cd69e

Answer 1

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`