Rational Numbers

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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