Dear,

We will multiply and divide a same number greater than 2 to both the given numbers. We want three numbers, we write 2 and 3 as rational numbers with denominator 3 + 1 = 4

Here, we will multiply each by 4.

Multiply each by 4 2/1*4/4 = 8/43/1 * 4/4 = 12/4

Then 3 rational numbers between 2 and 3 are 9/4 10/4 and 11/4  Now, we can easily write three rational numbers between 2 and 3.

Hope this helps!