How do I turn a percentage into a fraction?

Put the percentage number over 100, then simplify the fraction by dividing both numbers by their Greatest Common Divisor (GCD).

What is 75% as a fraction?

75/100 can be simplified to 3/4 by dividing both numbers by 25.

Can I convert percentages with decimals like 12.5%?

Yes. 12.5/100 becomes 125/1000, which simplifies to 1/8.

Percentage to Fraction Converter

PercentageCalculatorFree.com Team Last Updated: January 16, 2026

Convert any percentage to its simplest fraction form instantly.

Simplified Fraction

0/1

How to Convert a Percentage to a Fraction

The Core Concept

To convert a percentage to a fraction, you simply take the percentage number and place it over 100 as the denominator. This is because "percent" literally means "of 100."

The 3-Step Process

Write it over 100: Take the percentage (remove the % sign) and write it as the numerator of a fraction with 100 as the denominator.
Remove decimals: If the percentage contains a decimal, multiply both the top and bottom by 10 for every decimal place until the top is a whole number.
Simplify: Reduce the fraction to its simplest form by dividing both the numerator and denominator by their Greatest Common Divisor (GCD).

The Formula

Core Formula

Fraction = Percentage / 100

Step-by-Step Example

Example: Convert 60% to a fraction

Step 1: Write over 100 → 60/100

Step 2: Find GCD of 60 and 100 → 20

Step 3: Divide both by 20 → (60 ÷ 20) / (100 ÷ 20) = 3/5

Result: 3/5

Percentage	Simplified Fraction
10%	1/10
20%	1/5
25%	1/4
50%	1/2
75%	3/4
12.5%	1/8

From Percentage to Fraction

Converting percentages to fractions reveals exact values that decimals can only approximate. 33.33...% is exactly 1/3. This precision matters in mathematics, science, and any context requiring exact calculations.

Conversion Steps

Step 1: Write percentage over 100 (25% = 25/100)
Step 2: Find the GCD (greatest common divisor)
Step 3: Divide both numbers by GCD (25/100 = 1/4)

Common Conversions

50% = 1/2, 25% = 1/4, 20% = 1/5, 10% = 1/10. Trickier: 12.5% = 1/8, 6.25% = 1/16, 66.67% ≈ 2/3, 16.67% ≈ 1/6. For decimals that don't terminate evenly, find the closest simple fraction - calculators can help identify these relationships.

❓ Frequently Asked Questions

How do I convert a percentage to a fraction?

Write the percentage over 100, then simplify. 75% = 75/100 = 3/4.

What is 33.33% as a fraction?

33.33% (repeating) equals exactly 1/3. Similarly, 66.67% = 2/3.

How do I simplify a fraction like 60/100?

Find the Greatest Common Divisor and divide. 60/100 = 3/5.

🔍 Authoritative References

For more information about mathematical conversions and calculations, consult these trusted sources:

NIST - National Institute of Standards and Technology
Wolfram MathWorld - Comprehensive mathematical reference