How many rational numbers are there between any two non equal rational numbers ?


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Answer:

Infinite

Step by Step Explanation:
  1. Rational Number: A rational number is a number that can be expressed in  
    p
    q
      form where p and q are integers and q is not equal to zero.
  2. For example: There are multiple rational numbers between  
    2
    3
      and  
    3
    2
      .
    Lets mutiply numerator and denominator of first fraction by 200 and that of second by 300.
    Thus the new fractions become :  
    400
    600
      and  
    900
    600
      .
    As you can see, there are 500 fractions between the two fractions. Simiary if we multiply/divide them with bigger numbers, we can get even more rational numbers.
  3. Therefore, there are Infinite rational numbers between any two non equal rational numbers.

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