Enter any percentage — including decimals like 3.5% or 0.625% — and get back the fully simplified fraction. For percentages over 100%, the result is shown as a mixed number. You'll see the numerator, denominator, and the complete simplified fraction displayed clearly.
Simplified Fraction
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Numerator
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Denominator
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Mixed Number (if > 100%)
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Decimal Equivalent
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To convert a percent to a fraction, divide the percentage by 100 to get a decimal, then place that decimal over 1. Multiply both the numerator and denominator by a power of 10 to eliminate any decimal places, then simplify by dividing both by their Greatest Common Factor (GCF). For example, 35.5% becomes 35.5/100, which simplifies to 71/200.
When a percentage exceeds 100%, the resulting fraction is an improper fraction (numerator larger than denominator). This calculator automatically converts it to a mixed number. For example, 150% becomes 3/2, displayed as the mixed number 1 1/2.
16.67% divided by 100 gives 0.1667. Multiplying numerator and denominator by 10,000 gives 1667/10000. After finding the GCF and simplifying, 16.67% ≈ 1667/10000. If the value is intended to represent 1/6, then the exact fraction is 1/6, but the decimal approximation 16.67% simplifies to the nearest reducible form.
12.5% equals 12.5/100. Multiplying both numerator and denominator by 10 gives 125/1000. The GCF of 125 and 1000 is 125, so dividing both by 125 gives the simplified fraction 1/8. Therefore, 12.5% = 1/8.
83.33% is the decimal approximation of 5/6. As a straight decimal conversion, 83.33/100 simplifies to 8333/10000. The GCF of 8333 and 10000 is 1, so the simplified fraction is 8333/10000. For the exact value, 83.3333...% (repeating) equals exactly 5/6.
Yes, the calculator supports negative percentages. A negative percent like -25% converts to -1/4 following the same simplification process, with the negative sign carried through to the numerator of the final fraction.
The Greatest Common Factor (GCF) is the largest number that divides evenly into both the numerator and denominator. Dividing both by the GCF reduces the fraction to its simplest form, where no further simplification is possible. For example, for 256/100, the GCF is 4, giving the simplified fraction 64/25.
A fraction is fully simplified (or in its lowest terms) when the numerator and denominator share no common factors other than 1. For example, 2/4 is not fully simplified because both numbers share the factor 2, but 1/2 is fully simplified. This calculator always returns the fraction in its most reduced form.