**Rational numbers- **The numbers of the form p/q ,where p and q are integers and p is not equal to q are called rational numbers

*Examples- *each of the numbers 5/8,-3/14,7/-15,and-6/-11;is a rational number.

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

*Example- *5/3,-2/-5

__Negative Rationals- __A rational number is said to be negative if its numerator and denominator are of opposite signs.

*Examples- *-4/9,5/-12

__Three properties of rational numbers:__

**Property 1. **If a/b is a rational number and m is a nonzero integer then a/b=a×m/b×m

**Property 2. **If a/b is a rational number and m is a common divisor of a and b then a/b=a÷m/b÷m

**Property 3. **Let a/b and c/d be two rational number’s. Then, a/b=c/d~(a×d)=(b×c)

**Comparison of Rational Numbers**

*Step1- *Express each of the two given rational numbers with positive denominator.

*Step 2- *Take the LCM of these positive denominator.

*Step 3- *Express each rational numbers with this LCM as the common denominator.

*Step 3- *The number having the greater numerator is greater.

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