In a meeting, `(4)/(25)` of the members were female. What per cent of the members was this ?

Options

A. `24%`
B. `16%`
C. `4%`
D. `40%`

Answer

To find out what percentage of the members were female, we can follow these steps:

1. **Identify the Fraction**: We know that \(\frac{4}{25}\) of the members were female.

2. **Convert the Fraction to Percentage**: To convert a fraction to a percentage, we can use the formula:
\[ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 \]
In this case, the part is the number of females represented by \(\frac{4}{25}\), and the whole is 1 (or 100%).

3. **Set Up the Calculation**:
\[ \text{Percentage of females} = \left(\frac{4}{25}\right) \times 100 \]

4. **Perform the Calculation**:
- First, calculate \(\frac{4}{25} \times 100\):
\[ = \frac{4 \times 100}{25} \]
- Simplify \(100 \div 25 = 4\):
\[ = 4 \times 4 = 16 \]

5. **Conclusion**: Therefore, \(\frac{4}{25}\) of the members corresponds to 16%. Thus, 16% of the members were female.