Quotient means divide, meaning we'll divide 6 by -1/2.
[tex]6 \div - \frac{1}{2} [/tex]
When dealing with fraction division, we flip the fraction in the second place and then change the problem to multiplication.
[tex]6 \cdot - \frac{2}{1}[/tex]
Anything over 1 is just itself, so -2/1 becomes -2.
[tex]6 \cdot -2[/tex]
Finally, we multiply 6 and -2.
[tex]6 \cdot -2 = -12[/tex]
So the quotient of 6 and -1/2 is -12.
