In this article, you will learn about Positive Rational Numbers. Get to know about solved examples and explaining all about how come they are called Positive Rational Numbers. A Rational Number is said to be positive if both the numerator and denominator are either positive integers or negative integers. You can also say that a rational number is positive if both numerator and denominator are of the same sign.

1/6, 2/7, -9/-11, -5/-13, 8/12 are positive rationals, but 6/-5, -3/11, -8/7, 9/-23 are not positive rationals.

**Is every natural number a positive rational number?**

We know 1 = 1/1, 2 = 2/1, 3 = 3/1, 4 = 4/1 and ……..

Any natural number n can be written as n/1 where n, 1 are positive integers.

Therefore, every natural number is a positive rational number. Do remember Rational Number 0 is neither positive nor negative.

**Determine whether the following rational numbers are positive or not**

(i) -7/3

-7/ 3 is not a positive rational number as both the numerator and denominator are of opposite sign.

(ii) -9/-11

-9/-11 is a positive rational number as both the numerator and denominator are of the same sign.

(iii) 11/19

11/19 is a positive rational number since both numerator and denominator are positive integers.

(iv) 21/-7

21/-7 is not a positive rational number as both the numerator and denominator are of opposite sign.

(v) -105/7

-105/7 is not a positive rational number as both numerator and denominator are of opposite sign.

(vi) 25/31

25/31 is a positive rational number since both numerator and denominator are positive integers.

(vii) -6/5

-6/5 is not a positive rational number as both the numerator and denominator are of opposite sign.

(viii) 21/-25

21/-25 is not a positive rational number as both numerator and denominator are of opposite sign.

Thus, we can say that a rational number is positive if it has both numerator and denominator are of the same sign.