Question

Find five rational numbers between `3/5` and `4/5`.

Answer 1

We need to find 5 rational numbers between `3/5` and `4/5`.

Since, LCM of denominators = LCM (5, 5) = 5

So, consider

`3/5=3/5xx6/6`

`rArr3/5=18/30`

And,

`rArr4/5=4/5xx6/6`

`rArr4/5=24/30`

Hence, 5 rational numbers between `3/5` and `4/5` are: `19/30, 20/30, 21/30, 22/30, 23/30` OR `19/30, 2/3, 7/10, 11/15, 23/30`.