Assuming you are asking about a reciprocal rather than a recipricol(!), the answer is one divided by the number.
So, for example, reciprocal of -3 = 1/(-3) = -1/3.
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turn the positive number into its recipricol and the put the number of the negative number on the top
Flip it. The reciprocal of 3/4 is 4/3
The definition of an multipilicative inverse is a number that's times by the known number to attain a product of one. To find the multiplicative inverse is the same thing as the recipricol of the number. To find the multiplicitive inverse or recipricol of a number, first turn the number into a fraction, then switch the numerator and denominator around. The result is your multiplicitive inverse.
The reciprocal of -19 is -1/19
A negative plus a negative still gives a negative answer.