A number which can be written in the form p/q where p and q relatively prime integers and q =0 is called as
If your question means:
A number which can be written in the form p / q where p and q relatively prime integers and q ≠ 0
then
Two integers are relatively prime when there are no common factors other than 1.
A rational number is a number that can be expressed as a fraction p / q of two integers, a numerator p and a non-zero denominator q.
So p / q where p and q relatively prime integers and q ≠ 0 is called as a rational number.
A number which can be written in the form p/q, where p and q are relatively prime integers and q is not equal to 0, is called a rational number.
A number which can be written in the form p/q, where p and q are relatively prime integers (i.e. they have no common factors other than 1), and q is not equal to 0, is called a rational number.
To determine if a number is rational, you need to check if it can be expressed as a fraction in the form p/q. If it can, then it is rational. However, if it cannot be expressed in this form, then it is not rational.
For example, let's consider the number 2. This number can be written as 2/1, which is the ratio of two integers (p = 2 and q = 1). Hence, 2 is a rational number.
On the other hand, if we consider the number √2 (the square root of 2), it cannot be expressed as a fraction p/q where p and q are integers. No matter how you write it as a fraction, it will always have an irrational part (√2 cannot be simplified). Therefore, √2 is not a rational number.
In summary, a number that can be expressed as a fraction p/q (where p and q are relatively prime integers and q ≠ 0) is called a rational number, while a number that cannot be expressed in this form is called an irrational number.