Percentage to Fraction

Written by Aarav Sharma, Mathematics Editor Reviewed by Vikram Sen, Technical Reviewer Last updated: June 1, 2026 Last verified: June 1, 2026 · Methodology · Accuracy policy

Express a percent as a simplified fraction of 100 (40% → 2/5 after reducing 40/100).

fraction = percent ÷ 100, then simplify (example: 25% → 1/4).

Tip: Write the percent over 100 first, then reduce by the greatest common divisor.

Cluster: Conversions hub · Complete percentage guide

Percents to simplified fractions. Writing p% as p/100 is the first step. After that, divide numerator and denominator by their greatest common divisor so the result is easy to read and matches how textbooks prefer answers (for example, 37.5% → 375/1000 → 3/8 after reduction).

This is intentionally the inverse path of fraction-to-percent: here the starting object is a percent label, not a pair of integers separated by a fraction bar. Non-terminating decimals may require rounding before reduction; the worked sections below spell out assumptions.

Enter a percentage value below. If you instead have a numerator and denominator and want a percent, use fraction to percentage . For a quick decimal multiplier only, use percentage to decimal without simplifying to a rational.

Simplified Fraction

How we calculate: Converts the percentage value into an initial fraction over 100, then simplifies the numerator and denominator to lowest terms using the greatest common divisor (GCD). See our methodology and accuracy policy .

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.

How to Convert a Percentage to a Fraction

Real-world scenario: A teacher converted 40% to a simplified fraction for a lesson slide and confirmed 2/5 here.

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

The worked example for percentage to fraction was verified with the calculator form on this page—enter the same values to confirm the result.

Given: 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

Scenario	When to use
Percent of a number	Finding a part of a whole (tax, tip, score)
Percent change	Comparing old vs new values

Common mistakes

Skipping simplification: 50% is 1/2, not 50/100 left unreduced—unless the problem asks for hundredths.
Rounding too early: Carry extra decimal places through multi-step work before rounding the final percent.
Mixing percent and decimal forms: Enter rates in the format the calculator labels expect.

Limitations: percentage to fraction results are estimates for learning and quick checks—not financial, legal, tax, or medical advice. Policies, grading scales, and local rules may differ; confirm outcomes with official sources before making decisions.

When to use this calculator

Use this page when a percent should become a simplified fraction.
Use fraction to percentage to go from fraction to percent.
Use percentage to decimal for spreadsheet multipliers.

Still unsure about percentage to fraction? Start with the quick answer above, then open the linked calculator that matches your wording.

❓ 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

Percentage to Fraction

🔍 Step-by-Step Simplified Conversion