Rational and Irrational Numbers

• The numbers, which can be written in the form , where p and q are integers and q ≠ 0, are called rational numbers. Rational numbers can be positive as well as negative. Rational numbers include all integers and fractions.

For example

 

 

 

 

 

• To find rational numbers between any two given rational numbers, firstly we have to make their denominators same and then find the respective rational numbers.

                Example:

                Find some rational numbers between and.

Solution:

The L.C.M. of 6 and 8 is 24.

            Now, we can write

            

            Therefore, some of th…