Answer :
Answer:
Let the rational number be \( x \). According to the problem, when this number is added to \(\frac{33}{50}\), the sum becomes \(-\frac{33}{50}\). We can write this as an equation:
\[ x + \frac{33}{50} = -\frac{33}{50} \]
To find \( x \), we need to isolate it on one side of the equation. We do this by subtracting \(\frac{33}{50}\) from both sides:
\[ x + \frac{33}{50} - \frac{33}{50} = -\frac{33}{50} - \frac{33}{50} \]
Simplifying this, we get:
\[ x = -\frac{33}{50} - \frac{33}{50} \]
Since the denominators are the same, we can combine the fractions:
\[ x = -\frac{33 + 33}{50} \]
\[ x = -\frac{66}{50} \]
This fraction can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 2:
\[ x = -\frac{66 \div 2}{50 \div 2} \]
\[ x = -\frac{33}{25} \]
Thus, the rational number is:
\[ x = -\frac{33}{25} \]