Last updated at Dec. 16, 2024 by Teachoo
Let us take an example on how to do this
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 .
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
About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo