Express each of the following as a fraction :
`12(1)/(2)%`

Answer

To express \( 12 \frac{1}{2} \% \) as a fraction, follow these steps:

### Step 1: Convert the mixed number to an improper fraction
First, convert \( 12 \frac{1}{2} \) into an improper fraction.

\[ 12 \frac{1}{2} = 12 + \frac{1}{2} = \frac{24}{2} + \frac{1}{2} = \frac{25}{2} \]

### Step 2: Write the percentage as a fraction
Next, we know that \( x \% \) can be expressed as \( \frac{x}{100} \). Therefore, we can write:

\[ 12 \frac{1}{2} \% = \frac{25}{2} \% = \frac{25}{2 \times 100} = \frac{25}{200} \]

### Step 3: Simplify the fraction
Now, simplify \( \frac{25}{200} \):

\[ \frac{25}{200} = \frac{25 \div 25}{200 \div 25} = \frac{1}{8} \]

### Final Answer
Thus, \( 12 \frac{1}{2} \% \) expressed as a fraction is:

\[ \frac{1}{8} \]

---