Calculator Input
Plotly Graph
The graph shows how percent values convert into decimal values. Your submitted value appears as a highlighted point.
Example Data Table
| Percent | Exact Fraction | Simplified Fraction | Decimal | Mixed Number |
|---|---|---|---|---|
| 12.5% | 125/1000 | 1/8 | 0.125 | 1/8 |
| 37.5% | 375/1000 | 3/8 | 0.375 | 3/8 |
| 75% | 75/100 | 3/4 | 0.75 | 3/4 |
| 125% | 125/100 | 5/4 | 1.25 | 1 1/4 |
| 250% | 250/100 | 5/2 | 2.5 | 2 1/2 |
Formula Used
Core conversion:
Fraction = Percent / 100
If the percent contains decimals:
Scale numerator and denominator by 10d, where d is the number of decimal places.
Simplification:
Simplified Fraction = (Numerator ÷ GCD) / (Denominator ÷ GCD)
Example: 37.5% = 37.5/100 = 375/1000. The GCD of 375 and 1000 is 125, so the simplified fraction becomes 3/8.
How to Use This Calculator
- Enter the percent value you want to convert.
- Choose how many decimal places you want to display.
- Optionally set graph minimum, maximum, and step values.
- Pick a display mode for exact or simplified fraction emphasis.
- Press Convert Percent to see the result above the form.
- Review the conversion steps, graph, and example table.
- Use the export buttons to download result data as CSV or PDF.
FAQs
1) How do you convert a percent to a fraction?
Write the percent value over 100, then simplify the fraction using the greatest common divisor. For decimal percentages, first remove the decimal by multiplying numerator and denominator by the same power of ten.
2) Why is 50% equal to 1/2?
Because 50% means 50 out of 100. The fraction 50/100 simplifies by dividing both numbers by 50, giving 1/2.
3) Can this calculator handle decimal percentages?
Yes. A value like 12.5% becomes 12.5/100, then converts to 125/1000, and finally simplifies to 1/8.
4) What is the difference between exact and simplified fraction?
The exact fraction shows the direct setup from the entered percent. The simplified fraction reduces numerator and denominator to their smallest whole-number form.
5) When do I get a mixed number?
You get a mixed number when the simplified fraction is improper, meaning the numerator is larger than the denominator. For example, 125% becomes 5/4, or 1 1/4.
6) Why does the graph use decimal values?
A percent divided by 100 becomes a decimal. Plotting decimals makes the conversion pattern easy to see, especially across a range of percentage inputs.
7) Can I use negative percentages?
Yes. Negative percentages convert the same way. For example, -25% becomes -25/100, which simplifies to -1/4.
8) What do the CSV and PDF exports include?
They include the entered percent, exact fraction, simplified fraction, decimal value, mixed number, ratio form, GCD, and fraction type for quick saving or sharing.