Convert `3/8` into per cent.

Answer

To convert the fraction \( \frac{3}{8} \) into a percentage, we can follow these steps:

### Step-by-step Solution:

1. **Understand the Concept of Percentage**:
A percentage is a way of expressing a number as a fraction of 100. To convert a fraction into a percentage, we multiply it by 100.

2. **Set Up the Conversion**:
We start with the fraction \( \frac{3}{8} \). To convert this into a percentage, we will multiply it by 100:
\[ \frac{3}{8} \times 100 \]

3. **Perform the Multiplication**:
First, we can multiply the numerator (3) by 100:
\[ 3 \times 100 = 300 \]
So, we have:
\[ \frac{300}{8} \]

4. **Divide the Result**:
Now, we need to divide 300 by 8:
\[ 300 \div 8 = 37.5 \]

5. **Write the Final Answer**:
Therefore, \( \frac{3}{8} \) as a percentage is:
\[ 37.5\% \]

### Final Answer:
The percentage of \( \frac{3}{8} \) is \( 37.5\% \).

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