What should be added to `(-12)/(5)` to get 3?

Answer

To solve the problem, we need to determine what number should be added to \(-\frac{12}{5}\) to equal \(3\). We can set up the equation as follows:

1. **Set up the equation**:
Let \(x\) be the number we need to find. The equation can be written as:
\[ -\frac{12}{5} + x = 3 \]

2. **Isolate \(x\)**:
To find \(x\), we need to isolate it on one side of the equation. We can do this by adding \(\frac{12}{5}\) to both sides:
\[ x = 3 + \frac{12}{5} \]

3. **Convert \(3\) to a fraction**:
To add the two fractions, we should express \(3\) as a fraction with a common denominator. The denominator of \(\frac{12}{5}\) is \(5\), so we convert \(3\) to a fraction:
\[ 3 = \frac{3 \times 5}{1 \times 5} = \frac{15}{5} \]

4. **Add the fractions**:
Now we can add the two fractions:
\[ x = \frac{15}{5} + \frac{12}{5} = \frac{15 + 12}{5} = \frac{27}{5} \]

5. **Conclusion**:
Therefore, the number that should be added to \(-\frac{12}{5}\) to get \(3\) is:
\[ x = \frac{27}{5} \]