Convert `(3)/(10)` into per cent.

Options

A. `3%`
B. `30%`
C. `70%`
D. `0.3%`

Answer

To convert the fraction \( \frac{3}{10} \) into a percentage, follow these steps:

### Step 1: Understand the formula for conversion
To convert a fraction into a percentage, you multiply the fraction by 100. The formula is:
\[ \text{Percentage} = \left( \frac{A}{B} \right) \times 100 \]
where \( A \) is the numerator and \( B \) is the denominator.

### Step 2: Apply the formula
In this case, \( A = 3 \) and \( B = 10 \). Therefore, we can write:
\[ \text{Percentage} = \left( \frac{3}{10} \right) \times 100 \]

### Step 3: Simplify the expression
Now, we perform the multiplication:
\[ \text{Percentage} = \frac{3 \times 100}{10} \]

### Step 4: Cancel out the zeros
Next, we can simplify the fraction:
\[ \text{Percentage} = \frac{300}{10} = 30 \]

### Step 5: State the final answer
Thus, the fraction \( \frac{3}{10} \) converted into a percentage is:
\[ 30\% \]

### Conclusion
The correct answer is \( 30\% \).

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