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

To find the reciprocal of a number or fraction, you simply need to invert it. In other words, the reciprocal of a fraction is found by swapping the numerator and the denominator.

In your case, you are asked to find the reciprocal of (-1/5)(15). Let's break it down step by step:

1. Multiply (-1/5) by 15: (-1/5) * 15 = -15/5.
2. Simplify -15/5: -15/5 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which in this case is 5. The simplified form is -3/1.
3. To find the reciprocal, swap the numerator and the denominator of -3/1. The reciprocal of -3/1 is -1/3.

Therefore, the reciprocal of (-1/5)(15) is -1/3, not -1/5 as initially calculated.