Solution:

2
— × 100
7
= (200/7)%
= 28.57 %

ANSWER: 28.57%

To convert the fraction 2/7 into a percentage, follow these steps:
Step 1: Understand the Concept of Percentages
- Percentages represent a part per hundred.
- To convert any fraction into a percentage, you multiply it by 100.
Step 2: Set Up the Conversion
- Given fraction: 2/7
- To convert this fraction into a percentage, use the formula:
\[
\text{Percentage} = \left(\frac{\text{Numerator}}{\text{Denominator}}\right) \times 100
\]
Step 3: Perform the Calculation
- Substitute the values from the fraction:
\[
\text{Percentage} = \left(\frac{2}{7}\right) \times 100
\]
- First, divide 2 by 7:
\[
2 \div 7 \approx 0.2857
\]
- Now, multiply by 100:
\[
0.2857 \times 100 \approx 28.57
\]
Step 4: Conclusion
- Therefore, the fraction 2/7 converted into a percentage is approximately 28.57%.
Key Points to Remember:
- Always multiply the fraction by 100 to get the percentage.
- Ensure to round off to two decimal places for clarity when necessary.
This step-by-step guide helps you understand how to convert a fraction into a percentage effectively!