Percentage to Fraction Calculator
Convert a percentage value to a fully simplified fraction.
About Percentage to Fraction Calculator
A percentage is simply a number over 100. To convert to a fraction, write the percentage over 100, clear any decimal digits by multiplying both top and bottom by the appropriate power of 10, then reduce by the GCD.
Formula
Percentage to Fraction
P% = P / 100, then simplify
- P
- The percentage value
Worked example
With the default values below, Percentage to Fraction Calculator returns Fraction of 3/8. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Percentage
- 37.5 %
Results
- Fraction
- 3/8
- Numerator
- 3
- Denominator
- 8
- As Decimal
- 0.375000
Step by step
- 1Write percentage over 100
- 2Scale to remove decimalsMultiplied top and bottom by 10
- 3Simplify by GCD= 3/8
Assumptions and limits
- The result is derived only from the single input listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How do I convert 37.5% to a fraction?
37.5/100 = 375/1000 (multiply by 10 to clear the decimal). GCD(375,1000)=125, so 375÷125 / 1000÷125 = 3/8.
What about percentages greater than 100%?
They become improper fractions. For example, 150% = 150/100 = 3/2.