Express the following percentages as fractions :
`3""(1)/(8)%`

Answer

To express the percentage \(3 \frac{1}{8}\%\) as a fraction, we can follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
The mixed fraction \(3 \frac{1}{8}\) can be converted to an improper fraction. To do this, we multiply the whole number (3) by the denominator (8) and then add the numerator (1).

\[ 3 \frac{1}{8} = \frac{(3 \times 8) + 1}{8} = \frac{24 + 1}{8} = \frac{25}{8} \]

### Step 2: Write the percentage as a fraction
Now, we express \( \frac{25}{8}\% \) as a fraction. Remember that percentage means "per hundred," so we can write:

\[ \frac{25}{8}\% = \frac{25}{8} \times \frac{1}{100} = \frac{25}{800} \]

### Step 3: Simplify the fraction
Next, we simplify \( \frac{25}{800} \). We can divide both the numerator and the denominator by their greatest common divisor, which is 25.

\[ \frac{25 \div 25}{800 \div 25} = \frac{1}{32} \]

### Final Answer
Thus, \(3 \frac{1}{8}\%\) expressed as a fraction is:

\[ \frac{1}{32} \]

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