Two Rational Numbers between 1 and 2

There are an infinite number of rational numbers between any two rational numbers. Here, we need to find two rational numbers between 1 and 2.

Heading 1: What is a Rational Number?
A rational number is a number that can be expressed in the form p/q, where p and q are integers and q is not equal to zero.

Heading 2: Finding Rational Numbers between 1 and 2
To find rational numbers between 1 and 2, we can use the formula (a+b)/2, where a and b are two given numbers. Here, a=1 and b=2.

Rational Number 1: (1+2)/2 = 3/2
Rational Number 2: (1+3/2)/2 = 5/4

Both the above numbers are rational numbers between 1 and 2.

Heading 3: Verification
We can verify the rationality of the above numbers by expressing them in the form of p/q.
3/2 can be written as 1.5 and 5/4 can be written as 1.25. Both these numbers can be expressed as a fraction in the form of p/q.

Conclusion:
In conclusion, we can find an infinite number of rational numbers between any two rational numbers. In this case, we found two rational numbers between 1 and 2 using the formula (a+b)/2, which are 3/2 and 5/4.

4/3 and 5/3