Question

Insert four irrational number between 1/7 and 2/11​

Answer 1

Look at -1/3 and 1/2 on the axis.

Take a difference between -1/3 and 1/2. It is 1/2 -(-1/3) = 5/6. This is the difference between the corresponding points on the axis.

Add some positive rational number less than 5/6 to -1/2, you will get a rational number between -1/3 and 1/2.

So, the answer may be

-1/3 + 5/600, -1/3+6/600, -1/3+7/600, -1/3+8/600, 1/3+9/600.

Answer 2

1/7 and 2/11

(11 and 14)/77

12/77, 25/154, 13/77, 27/154 Ans