Add `9/(-14)` and `-7/14`

Answer

To solve the problem of adding \( \frac{9}{-14} \) and \( -\frac{7}{14} \), we will follow these steps:

### Step 1: Rewrite the fractions
We start with the fractions:
\[ \frac{9}{-14} + \left(-\frac{7}{14}\right) \]
The first fraction can be rewritten as:
\[ -\frac{9}{14} \]
So now we have:
\[ -\frac{9}{14} + \left(-\frac{7}{14}\right) \]

### Step 2: Combine the fractions
Since both fractions have the same denominator (14), we can combine them:
\[ -\frac{9 + 7}{14} \]
This simplifies to:
\[ -\frac{9 + 7}{14} = -\frac{16}{14} \]

### Step 3: Simplify the fraction
Now, we simplify \( -\frac{16}{14} \). We can divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[ -\frac{16 \div 2}{14 \div 2} = -\frac{8}{7} \]

### Final Answer
Thus, the final answer is:
\[ -\frac{8}{7} \]

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