Find the reciprocal of (-1/5) (15)= -1/3?

I don't understand your question. Is it find the reciprocal of (-1/5)? If that is the question, it is -5

this is how the question is stated i believe it is finding the reciprocal of both

(-1/5) (15)=-15/5=-3= a reciprocal of -1/3

To find the reciprocal of a number, we simply invert it. The reciprocal of a fraction is obtained by switching the numerator and the denominator.

In this case, the task is to find the reciprocal of (-1/5)(15).

First, let's simplify (-1/5)(15). Multiplying the numerators and the denominators, we have (-1)(15) / (5)(1), which simplifies to -15/5.

Now, to find the reciprocal of -15/5, we invert it. This means the numerator becomes the denominator and the denominator becomes the numerator. So, the reciprocal of -15/5 is 5/-15.

Finally, we can simplify 5/-15 by dividing both the numerator and the denominator by their greatest common divisor, which is 5.

Dividing 5 by 5 gives us 1, and dividing -15 by 5 gives us -3. Therefore, the reciprocal of (-1/5)(15) is -1/3.