Question

find a rational number between 2 and 3 in fraction​

Answer 1

We know that between two rational number x and y such x < y there is a rational number $~\sf\dfrac{x+y}{2}$.

That $\sf x< \dfrac{x+y}{2} < y$

$\\{ \sf\therefore \: A \: rational \: number \: between \: 2 \: and \: 3 \: is}$

$\\\: \: \: \: \implies \: \sf \dfrac{2 + 3}{2} = \dfrac{5}{2}$

$\sf {Or \: 2\bf< \dfrac{5}{2} \sf < 3}$

Answer 2

Answer:

let n =1

n+1=1+1=2

2×2/1×2 = 4/2

3×2/1×2=6/2

so 4/2, 5/2, 6/2

answer is 5/2