Percent to Fraction Converter
Convert any percentage to its simplified fraction form. This tool places the percentage over 100 and then reduces the fraction to lowest terms using the Greatest Common Factor (GCF). Works with whole numbers, decimals, and repeating percentages. See also Percent to Decimal, Percentage Calculator, and Fractions Calculator.
How to Convert Percent to Fraction
- Write the percentage as a fraction with 100 as the denominator (e.g., 75% = 75/100).
- If the percentage has a decimal, multiply both numerator and denominator by 10 for each decimal place.
- Find the Greatest Common Factor (GCF) of the numerator and denominator.
- Divide both the numerator and denominator by the GCF to get the simplified fraction.
Formula
Fraction = Percentage / 100
Then simplify by dividing numerator and denominator by their GCF.
Example Calculation
Convert 62.5% to a fraction:
Step 1: Write as fraction: 62.5/100
Step 2: Multiply by 10 to remove decimal: 625/1000
Step 3: Find GCF of 625 and 1000: GCF = 125
Step 4: Divide both by 125: 625/125 = 5, 1000/125 = 8
Step 5: Result: 5/8
Percent to Fraction Reference Table
| Percentage | Fraction |
|---|---|
| 5% | 1/20 |
| 10% | 1/10 |
| 12.5% | 1/8 |
| 20% | 1/5 |
| 25% | 1/4 |
| 30% | 3/10 |
| 33.33% | 1/3 |
| 40% | 2/5 |
| 50% | 1/2 |
| 60% | 3/5 |
| 62.5% | 5/8 |
| 66.67% | 2/3 |
| 75% | 3/4 |
| 80% | 4/5 |
| 87.5% | 7/8 |
| 90% | 9/10 |
Frequently Asked Questions
What is 33.33% as a fraction?
33.33% is approximately 1/3. The exact value of 1/3 as a percentage is 33.333...% (repeating).
How do I convert a percentage with a decimal to a fraction?
First write it over 100, then multiply both numerator and denominator by 10 for each decimal place to get whole numbers, then simplify using the GCF.
What is the GCF and why is it used?
The Greatest Common Factor (GCF) is the largest number that divides evenly into both the numerator and denominator. Dividing by the GCF reduces the fraction to its simplest form.
Can percentages over 100% be converted to fractions?
Yes. For example, 150% = 150/100 = 3/2 (an improper fraction, or 1 and 1/2 as a mixed number).
What is 0.5% as a fraction?
0.5% = 0.5/100 = 5/1000 = 1/200 after simplifying by the GCF of 5.