What percentage is equal to `3/8?`

Answer

To find out what percentage is equal to \( \frac{3}{8} \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Conversion Formula**:
To convert a fraction to a percentage, we use the formula:
\[ \text{Percentage} = \left( \text{Fraction} \times 100 \right) \% \]

2. **Substitute the Fraction**:
Substitute \( \frac{3}{8} \) into the formula:
\[ \text{Percentage} = \left( \frac{3}{8} \times 100 \right) \% \]

3. **Multiply the Fraction by 100**:
To perform the multiplication, we can rewrite it as:
\[ \text{Percentage} = \frac{3 \times 100}{8} \]

4. **Calculate the Numerator**:
Calculate \( 3 \times 100 \):
\[ 3 \times 100 = 300 \]
So, we have:
\[ \text{Percentage} = \frac{300}{8} \]

5. **Simplify the Fraction**:
Now, we need to simplify \( \frac{300}{8} \). We can divide both the numerator and the denominator by 4:
\[ \frac{300 \div 4}{8 \div 4} = \frac{75}{2} \]

6. **Convert to Decimal**:
Now, divide \( 75 \) by \( 2 \):
\[ 75 \div 2 = 37.5 \]

7. **Final Answer**:
Therefore, the percentage equivalent of \( \frac{3}{8} \) is:
\[ 37.5\% \]

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

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