Question

rational number where both numerator and denominator are positive integer is called a rational number

Answer 1

integers and 0 q ≠ , is called a rational number. ... When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or thedenominator is a negative integer, it is a negative rational number.
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Answer 2

no it can be negative also for example 2/3, 3/1
-3/1 , 2/-3
a rational number is either negative or positive
but not in case of p/q where q = 0 and p is any integer