State true/false:

When both the numerator and denominator are positive integers, a rational number is called a positive rational number.

The given statement is true.

A rational number is a number that can be expressed as the ratio of two integers, such as a/b where a and b are integers and b is not equal to zero. 

A positive rational number has its numerator and denominator either both positive or negative that is greater than zero.

Example:

$\frac{5}{7} , \frac{6}{5}$