Positive Rational Numbers

Equivalent Rational Numbers	Positive Rational Numbers	Negative Rational Numbers	Rational Numbers in Standard Form	Compare Rational Numbers
Addition of Rational Numbers	Addition of Rational & Natural Number	Addition of Rational Number & Integer	Subtraction of Rational Numbers	Subtraction of Rational Number & Integer
Multiplication of Rational Numbers	Multiplication of Rational & Natural Number	Multiplication of Rational Number & Integer	Reciprocal of a Rational Number	Division of Rational Numbers

Concept 1: Where both numerator and denominator are positive integers Rational numbers in which both numerator and denominator are positive integers, such rational numbers are referred to as Positive Rational Numbers e.g. 5 / 3, 5 / 12, 24 / 9, 75 / 25 all are Positive Rational numbers Concept 2: Where both numerator and denominator are negative integers Rational numbers in which both numerator and denominator are negative integers, such rational numbers are referred to as Positive Rational Numbers. To further elaborate/understand this, consider the following example: -7/-8 is a rational number in which both numerator and denominator are negative integers. Now, let's find equivalent rational numbers of it. we will multiply both numerator and denominator by (-1) and we get -7 X (-1) / -8 X (-1) = 7/8 And in this equivalent fraction, both numerator and denominator are positive integers. So, as explained in Concept 1 , we can say that 7/8 is a positive rational number. But, 7/8 is equivalent fraction of -7 / -8, so we get that -7 / -8 is also a positive rational numbers. This proves Concept 2 that Rational numbers in which both numerator and denominator are negative integers, such rational numbers are referred to as Positive Rational Numbers. So Examples like -5 / -3, -5 / -12 , -24 / -9 , -75 / -25 all are Positive Rational numbers Hence, from Concept 1 and 2, a positive rational number is a rational number in which both numerator and denominator are either positive integer or negative integer.