How do reciprocals of negative fractions work?

The definition of a reciprocal is something by which you multiply to get 1. So it should not matter if the fraction is negative or positive either way the reciprocal of x y is y x. What you have in your question is the opposite reciprocal in which you flip the numerator and denominator along with switching this sign. read more

Reciprocals of negative numbers work just like reciprocals of positive numbers, except that the positive or negative sign “goes with” the reciprocal. This makes things very easy if you think of it that way. So, the reciprocal of 5 is 1/5, but the reciprocal of -5 is -1/5. It’s that simple. read more

Reciprocal of a Fraction. To get the reciprocal of a fraction, just turn it upside down. Like this: Fractions A Fraction (such as 34) has two numbers: NumeratorDenominator. We call the top number the Numerator, it is the number of parts we have. We call the bottom number the Denominator, it is the number of parts the whole is divided into. read more

The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. read more