The reciprocal of a negative rational number is negative.
The reciprocal of a negative rational number is: In mathematics, a reciprocal expression is defined as an expression that, when multiplied by another expression, produces the number one (1). The reciprocal of any quantity is equal to one divided by the quantity being reciprocated. The reciprocal of any number ‘a’ is equal to one-hundredth of that number.
The inverse of a negative rational number is also a negative rational number.
For any negative number -x, the reciprocal may be calculated by putting the inverse of the given number with a minus sign next to it (i.e. -1/x) and then multiplying the two numbers together.
Take, for example, the negative rational number -3/4.
-4/3 is the reciprocal of a negative rational number, which is 4/-3.