Express each of the following as a per cent :
`3(1)/(4)`

Answer

To express the mixed fraction \(3 \frac{1}{4}\) as a percent, follow these steps:

### Step 1: Convert the mixed fraction to an improper fraction
A mixed fraction consists of a whole number and a fraction. To convert \(3 \frac{1}{4}\) into an improper fraction, we multiply the whole number by the denominator and then add the numerator.

\[ 3 \frac{1}{4} = \frac{(3 \times 4) + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4} \]

### Step 2: Convert the improper fraction to a percentage
To convert a fraction to a percentage, multiply it by 100.

\[ \frac{13}{4} \times 100 \]

### Step 3: Perform the multiplication
Calculate \( \frac{13 \times 100}{4} \).

\[ \frac{1300}{4} \]

### Step 4: Simplify the fraction
Now, divide \(1300\) by \(4\).

\[ 1300 \div 4 = 325 \]

### Step 5: Write the final result
Thus, \(3 \frac{1}{4}\) as a percentage is:

\[ 325\% \]