Question

Insert seven rational numbers between 2 and 3.

Answer 1

As, we have to find 7 rational numbers between 2 and 3, we multiply the numbers by `8/8`

`therefore 2 = 2xx8/8 = 16/8`

and `3 = 3 xx 8/8 = 24/8`

Thus, 7 rational numbers between 2 and 3

`(i.e, 16/8 and 24/8)` are =

`17/8, 18/8, 19/8, 20/8, 21/8, 22/8, 23/8`

`= 17/8, 9/4, 19/8, 5/2, 21/8, 11/4, 23/8`

`= 2 1/8, 2 1/4, 2 3/8, 2 1/2, 2 5/8, 2 3/4 and 2 7/8`