Question

find six rational numbers between them 3/13 and 3/11 also find two irrational numbers between them full explanation ​

Answer 1

here n = 6

We may write 3/13 as 3×11×n+1/13×11×n+1

= 33×(6+1)/143×(6+1)

= 33×7/143×7

= 231/1001

We may write 3/11 as 3×13×n+1/11×13×n+1

= 39×(6+1)/143×(6+1)

= 39×7/143×7

= 273/1001

Therefore,six rational numbers between 3/13 and 3/11 are :-

232/1101 , 233/1001 , 234/1001 , 235/1001 , 236/1001

Answer may be many .