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

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.