Finding the reciprocal of this problem. Would like to know if I am doing it right.

(-1/5)(15)=
-15/5=
-5/15=
-1/5

The last step is wrong.

Wouldn't it be done like this?
-1/5 * 15/1=-15/5=-3?

yes, so far as you have gone, but they ask for the reciprocal. That would be -1/3

sdfsd