Percent to Fraction Calculator
Convert percentages to fractions and fractions to percentages. Shows step-by-step solution and simplifies to the lowest terms automatically.
Quick Method
% to Fraction: Put the number over 100, then simplify. Example: 75% = 75/100 = 3/4
🔢 Enter Percentage
Quick examples:
💡 Supports decimals like 12.5%, 33.33%, 66.67%, etc.
✅ Result: Fraction
75% as a fraction is
3/4
Decimal: 0.75
📝 Step-by-Step Solution
Formula: n% = n/100, then simplify using GCD
📊 Common Percent to Fraction Conversions
| Percent | Fraction | Decimal | Percent | Fraction | Decimal |
|---|---|---|---|---|---|
| 1% | 1/100 | 0.01 | 5% | 1/20 | 0.05 |
| 10% | 1/10 | 0.1 | 12.5% | 1/8 | 0.125 |
| 20% | 1/5 | 0.2 | 25% | 1/4 | 0.25 |
| 30% | 3/10 | 0.3 | 33.33% | 1/3 | 0.333... |
| 40% | 2/5 | 0.4 | 50% | 1/2 | 0.5 |
| 60% | 3/5 | 0.6 | 66.67% | 2/3 | 0.666... |
| 70% | 7/10 | 0.7 | 75% | 3/4 | 0.75 |
| 80% | 4/5 | 0.8 | 83.33% | 5/6 | 0.833... |
| 87.5% | 7/8 | 0.875 | 90% | 9/10 | 0.9 |
| 100% | 1 | 1 | 125% | 5/4 (1¼) | 1.25 |
| 150% | 3/2 (1½) | 1.5 | 200% | 2 | 2 |
🔢 How to Convert Percent to Fraction
The Simple Method
Converting a percentage to a fraction is straightforward: divide by 100 and simplify. The word "percent" literally means "per hundred," so 75% is the same as 75 per 100, or 75/100.
Handling Decimal Percentages
For percentages with decimals like 12.5%, multiply both the numerator and denominator by 10 (or 100, 1000) until you have whole numbers. Then simplify as usual.
Example: 12.5% = 12.5/100 = 125/1000 = 1/8
Percentages Over 100%
When a percentage exceeds 100%, the fraction will be improper (numerator larger than denominator). You can convert this to a mixed number for easier understanding.
Example: 150% = 150/100 = 3/2 = 1½
⚡ Quick Reference
25% = 1/4
33.33% = 1/3
50% = 1/2
66.67% = 2/3
75% = 3/4
💡 Tips
• Always simplify to lowest terms
• 33⅓% and 66⅔% are exact thirds
• GCD helps find simplest form
• Decimals × 10 until whole numbers
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Frequently Asked Questions
To convert a percent to a fraction: 1) Remove the % symbol. 2) Write the number over 100. 3) Simplify by finding the Greatest Common Factor (GCF) of the numerator and denominator. For example, 75% = 75/100. The GCF of 75 and 100 is 25, so 75÷25 / 100÷25 = 3/4.
12.5% = 1/8. Here's how: 12.5/100 → multiply both by 10 to remove decimal → 125/1000 → divide both by GCF (125) → 1/8.
33.33% (or 33⅓%) = 1/3. The repeating decimal 0.333... represents exactly one-third. Similarly, 66.67% (66⅔%) = 2/3.
75% in simplest fraction form is 3/4. Start with 75/100, find the GCF which is 25, then divide both numbers by 25 to get 3/4.
To convert a fraction to a percent: Divide the numerator by the denominator, then multiply by 100. For example, 3/4 = 3 ÷ 4 = 0.75 × 100 = 75%.
66.67% (or 66⅔%) = 2/3. This is because 2 ÷ 3 = 0.6666... which equals 66.67% when rounded to two decimal places.
🔢 Note: This calculator automatically simplifies fractions to their lowest terms using the Greatest Common Divisor (GCD). Results are mathematically accurate.