Question

How to find irrational number between 1/7 and 2/7?

Answer 1

As we know that


 1/7 = 0.14285

and

2/7 = 0.28571

An irrational number has non terminating and non recurring decimal expansion.

So, an irrational number between  0.14285 and 0.28571 is 0.15624785....... 

Answer 2

It's easy

first of all ,


1/7=0.142857

2/7=0.285714


Irrational number between 1/7 and 2/7 should have a non terminating and non relating expansion

E.g. 0.150150015000.....
0.160160016000......