Fraction to Percentage Calculator
Convert fractions to percentages with our free online calculator.
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to percentage
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How to Convert Fractions to Percentages
Formula
(Numerator ÷ Denominator) × 100
To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. This calculation expresses the fraction as a percentage of the whole.
Step-by-Step Example
Example: Convert 3/8 to a percentage
- Identify your values:
- Numerator = 3
- Denominator = 8
- Divide numerator by denominator:
3 ÷ 8 = 0.375 - Multiply by 100:
0.375 × 100 = 37.5 - Therefore, 3/8 = 37.5%
Common Use Cases
- Academic grading (fraction scores to percentages)
- Cooking measurements (recipe conversions)
- Financial ratios (profit margins)
- Survey results (response proportions)
- Scientific calculations (concentration ratios)
- Sports statistics (success rates)
Tips for Accurate Conversions
- Convert mixed numbers to improper fractions first
- Use a calculator for precise decimal divisions
- Round percentages to appropriate decimal places
- Check that your answer is reasonable
- Remember that proper fractions convert to percentages less than 100%
Common Fraction to Percentage Conversions
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333... | 33.33...% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |