Express `6 (1)/4%` as a fraction.

Answer

To express \( 6 \frac{1}{4} \% \) as a fraction, we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
First, we convert \( 6 \frac{1}{4} \) into an improper fraction.

\[ 6 \frac{1}{4} = 6 + \frac{1}{4} = \frac{6 \times 4 + 1}{4} = \frac{24 + 1}{4} = \frac{25}{4} \]

### Step 2: Convert the percentage to a fraction
Next, we express the percentage as a fraction. Since \( P\% \) means \( \frac{P}{100} \), we have:

\[ 6 \frac{1}{4} \% = \frac{25}{4} \% = \frac{25}{4} \times \frac{1}{100} = \frac{25}{400} \]

### Step 3: Simplify the fraction
Now we simplify \( \frac{25}{400} \):

\[ \frac{25}{400} = \frac{25 \div 25}{400 \div 25} = \frac{1}{16} \]

### Final Answer
Thus, \( 6 \frac{1}{4} \% \) expressed as a fraction is:

\[ \frac{1}{16} \]

---