is 3/2 a rational number?

the ratio of two integers is rational by definition.

Now an irrational number therefore can NOT be represented by a ratio of integers.

For example the ratio of the circumference of a circle to its diameter, pi, can not be calculated exactly no matter how many digits you carry in numerator and denominator.
You can approximate pi by ratios of integers such as 22/7, but it is not exact.
pi starts out
3.14159 etc
but 22/7 is
3.142857 etc

Yes, 3/2 is a rational number.

A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. In this case, 3/2 can be written as the ratio of the numerator 3 and the denominator 2. Since both 3 and 2 are integers, 3/2 is a rational number.

Yes, 3/2 is a rational number. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. In this case, 3/2 is a fraction where the numerator (3) and the denominator (2) are both integers, so it meets the criteria for being a rational number.