Question

Find five rational numbers between 1 and 2.

Answer 1

We need to find 5 rational numbers between 1 and 2.

Consider,

`1=1/1`

`rArr1=1/1xx6/6`

`rArr1=6/6`

And

`rArr2=2/1`

`rArr2=2/1xx6/6`

`rArr2=12/6`

So, five rational numbers between `6/6` and `12/6` will be `7/6, 8/6, 9/6, 10/6, 11/6`.

Hence 5 rational numbers between 1 and 2 are: `7/6, 8/6, 9/6, 10/6, 11/6` OR `7/6, 4/3, 3/2, 5/3, 11/6`.