Question

11) Find a rational between 2 and 3​

Answer 1

a rational between 2 and 3

2.5 or 25/10

Answer 2

Step-by-step explanation:

There are infinite number of rational numbers between any 2 rational numbers, be it consecutive or different.

It is because the further you divide, the further you will get the number.

It is also based on the paradox “finite distances have infinite halves.”

So coming to the topic.

Rational numbers between 2 and 3.

As you did not specify how many rational numbers, I will assume you need 3 rational numbers.

Take the LCM of the denominators.In this case it is 1, so it will be 2 and 3As we want 3 rational numbers between 2 and 3, multiply it with 4.

2×4; 3×4 will be the figure of the last step

We multiplied it with 4 because of the rule: how many rational numbers needed+1 ×the first and the second number. 

Example: we want 3 rational numbers. So,3+1×2  

So multiplying it we get 8 and 12 respectively.

Therefore between 8 and 12 we have 9;10 and 11, i.e. we have 3 rational numbers between 2 and 3.