Finding Rational Numbers between 2 and 3

To find the rational number between 2 and 3, we need to follow the steps below:

Step 1: Find the denominators of the two numbers

The denominator of 2 is 1, and the denominator of 3 is also 1.

Step 2: Find the LCM of the two denominators

The LCM of 1 and 1 is also 1.

Step 3: Divide the LCM by each denominator and multiply the result by the corresponding numerator

For 2, we get (1/1)*(2/1) = 2/1 = 2
For 3, we get (1/1)*(3/1) = 3/1 = 3

Step 4: Find the rational number between 2 and 3

To find the rational number between 2 and 3, we take the average of the two numbers. That is, (2+3)/2 = 2.5

Therefore, the rational number between 2 and 3 is 2.5.

Conclusion
We can find the rational number between any two given numbers by finding their denominators, finding the LCM of the denominators, multiplying the numerators with the quotient obtained by dividing LCM by each denominator, and taking the average of the two numbers.