Rational Number Between Two Numbers

Last updated at Dec. 16, 2024 by

Let’s take an example

 

Find 3 Rational numbers between 1 & 2.

 

Since we need to find 3 rational numbers, multiply and divide by 4 .

 

  1 × 4/4=4/4

&   2 × 4/4=8/4

 

∴ 3 rational numbers  are 5/4, 6/4 & 7/4

 

Find 5 Rational numbers between 2/3 & 3/4

 

Step 1 : Make denominators equal.

     2/3×4/4=8/12

&   3/4×3/3=9/12

 

Step 2 :- Since we need to find 5 rational numbers, multiply and divided by 6.

  8/12×6/6=48/72

&   9/12×6/6=54/72

 

∴ 5 rational numbers 49/72, 50/72, 51/72, 52/72, 53/72

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Davneet Singh

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