Add `(12)/(8) and (-9)/(8).`

Answer

To solve the problem of adding \(\frac{12}{8}\) and \(-\frac{9}{8}\), we can follow these steps:

### Step 1: Write the two fractions
We start by writing the two fractions that we need to add:
\[ \frac{12}{8} + \left(-\frac{9}{8}\right) \]

### Step 2: Recognize the operation
Since we are adding a positive fraction and a negative fraction, we can rewrite this as:
\[ \frac{12}{8} - \frac{9}{8} \]

### Step 3: Identify the common denominator
Both fractions have the same denominator of 8. Therefore, we can directly subtract the numerators while keeping the denominator the same.

### Step 4: Subtract the numerators
Now we subtract the numerators:
\[ 12 - 9 = 3 \]

### Step 5: Write the result as a single fraction
Now we can write the result as a single fraction:
\[ \frac{3}{8} \]

### Final Answer
Thus, the final answer for the addition of \(\frac{12}{8}\) and \(-\frac{9}{8}\) is:
\[ \frac{3}{8} \]

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