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How to find Rational Numbers between two rational numbers (with Video)

Finding rational number between two rational numbers - Part 2
Finding rational number between two rational numbers - Part 3
Finding rational number between two rational numbers - Part 4
Finding rational number between two rational numbers - Part 5

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Let us take an example on how to do this

 

Find five rational numbers between 1 and 2.

As we have to find 5 rational numbers, we multiply the numbers by 6/6

1 = 1 × 6/6 = 6/6

2 = 2 × 6/6 = 12/6     

 

Thus, 5 Rational numbers between 1 & 2 (i.e. 6/6 & 12/6 ) are

 7/6, 8/6, 9/6, 10/6, 11/6 

 

Note:

Note that 5/4, 11/8, 13/8, 14/8,……… are also rational numbers between 1 and 2

So, there can be infinitely many rational numbers between any two rational numbers .

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Transcript

Finding Rational Number between two numbers Suppose we want to find 5 rational numbers between 1 and 2 So, 5 Rational numbers can be 3/2, 5/4, 7/4, 4/3, 5/3 5 rational numbers between 1 and 2 As we have to find 5 rational numbers, we multiply the numbers by 6/6 1 = 1 × 6/6 & 2 = 2 × 6/6 Thus, 5 Rational numbers between 1 & 2 are 7/6 , 8/6 , 9/6 , 10/6 , 11/6

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.