Certainly, let's find the value of the given fraction step-by-step:
Given expression: [tex]\(\frac{0}{-13}\)[/tex]
1. Identify the components:
- The numerator is 0.
- The denominator is -13.
2. Understanding the fraction:
- A fraction indicates division of the numerator by the denominator.
- When the numerator of a fraction is 0 and the denominator is any non-zero number, the value of the fraction is always 0. This is because dividing zero by any non-zero number still results in zero.
3. Sign of the result:
- Even though the denominator is negative, the sign of the result does not matter in this specific case. Whether it is positive or negative, the result will still be zero.
Therefore, the rational number [tex]\(\frac{0}{-13}\)[/tex] simplifies to [tex]\(-0.0\)[/tex].