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What is the reciprocal of a positive rational number?
It is another positive rational number. The reciprocal of p/q is q/p.
What positive number is the same as its reciprocal?
1
What is the minimum value of sum of a positive real number and its reciprocal?
This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).
Is the reciprocal of any positive or negative integer always a rational number?
Yes, it is.
What is the reciprocal of a negative fraction?
Answer: -a/b is a fraction, its reciprocal is -b/a Why: Let's look at what reciprocal does. Take a fraction like 1/3 and its reciprocal is 3 . That is 1/ (1/3) and if we multiply the number by its reciprocal we get one. So now take -1/3. The question is whether the reciprocal is 3 or -3. If we multiply - 1/3 by 3 we have -1 and if we multiply it by -3 we have 1. 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. So the answer is -3 and just as with positive fractions, we have the number multiplied by its reciprocal is 1
