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**Introduction**

**Rational number a number of the form `p/q ` or a number which can be expressed in the form `p/q ` where p and q are integers and `q != 0` is called a rational number.**

**Every natural number is a rational number but a rational number need not be a natural number**

**Zero is a rational number.**

**Every integer is a rational number but a rational number need not be an integer**

**Every fraction is a rational number but a rational number need not be a fraction.**

**numerator and denominator If `p/q ` is a rational number then the integer p is known as its numerator and the integer q is called the denominator.**

**Positive rational number is said to be positive if its numerator and denominator are either both positive integers or both negative integers.**

**Negative rational number a rational number is said to be negative if its numerator and denominator are such that one of them is positive integer and another one is a negative integer.**

**Property 1 if `p/q ` is a rational number and m is a non -zero integer then `p/q = (p xx m) / ( q xx m )`**