Express each of the following as a percentage :
`2(3)/(5)`

Answer

To express the fraction \( \frac{2(3)}{5} \) as a percentage, we can follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 2(3) \) can be expressed as an improper fraction.
- First, convert \( 2(3) \) to an improper fraction:
\[ 2(3) = 2 + \frac{3}{5} = \frac{10}{5} + \frac{3}{5} = \frac{13}{5} \]

### Step 2: Multiply by 100 to convert to percentage
Next, we need to convert the improper fraction \( \frac{13}{5} \) to a percentage by multiplying it by 100.
- Perform the multiplication:
\[ \frac{13}{5} \times 100 \]

### Step 3: Simplify the multiplication
Now, simplify the multiplication:
- First, divide 100 by 5:
\[ 100 \div 5 = 20 \]
- Then multiply by 13:
\[ 13 \times 20 = 260 \]

### Step 4: Write the final answer
Thus, the percentage is:
\[ 260\% \]

### Summary of Steps:
1. Convert the mixed number to an improper fraction: \( 2(3) = \frac{13}{5} \)
2. Multiply by 100: \( \frac{13}{5} \times 100 \)
3. Simplify: \( 100 \div 5 = 20 \) and then \( 13 \times 20 = 260 \)
4. Final answer: \( 260\% \)