Percent to Fraction

A Percent to Fraction Converter is a useful tool that transforms percentages (such as 25%, 75%, or 150%) into their equivalent fractional values (1/4, 3/4, 3/2). Percentages are commonly used to express ratios out of 100, and converting them to fractions helps in understanding parts of a whole in a mathematical format.

This converter simplifies this process by instantly providing an accurate fractional representation of any percent value—whether whole, decimal, or greater than 100.

Conversion Rule:

To convert a percent to a fraction:

Step 1: Write the percent as a fraction over 100.

Step 2: Simplify the fraction to its lowest terms.

Formula:

Fraction = Percent / 100, then simplify

Common Uses for Percent to Fraction Conversion:

• Mathematics & Education: Helps students understand ratios and part-to-whole relationships.
• Construction & Carpentry: Measurements are often more practical in fractional format.
• Science & Engineering: Converts rate-based data to usable mathematical expressions.
• Finance: Useful when dealing with ratios or probabilities.
• Cooking & Recipes: Fractional quantities make measurement simpler.

Key Features of Percent-to-Fraction Converter:

• Simplifies Automatically: Returns results in lowest terms.
• Handles All Inputs: Works with percentages above 100%, decimals, and negative values.
• Instant Conversion: No calculation needed—real-time output.
• Supports Mixed Fractions: Returns improper and mixed forms as required.
• Accurate & Fast: Reliable for academic, financial, and technical purposes.
• Educational Support: Great for learning and teaching fractions.

This converter makes translating percentages to fractions quick and simple, with accurate output every time.

Enter the Percent Value:

For example: 75%, 150%, or 0.5%.

Automatic Output:

The tool converts the percent into a fraction instantly.

View the Simplified Result:

Results are displayed in simplest fractional form (e.g., 75% → 3/4).

Use for Calculations or Documentation:

Apply results in math work, presentations, or measurement.

Example 1:

50% → 50/100 → 1/2

Example 2:

25% → 25/100 → 1/4

Example 3:

75% → 75/100 → 3/4

Example 4:

125% → 125/100 = 5/4 or 1 1/4



Example 5:

0.5% → 0.5/100 → 1/200

Percent

Fraction

1%

1/100

5%

1/20

10%

1/10

12.5%

1/8

20%

1/5

25%

1/4

33.33%

1/3

50%

1/2

66.67%

2/3

75%

3/4

80%

4/5

100%

1

150%

3/2 or 1 1/2

Steps to Convert Percent to Fraction:

Write the Percent Over 100:

1. E.g., 30% → 30/100

Simplify the Fraction:

1. Divide both the numerator and denominator by their GCD.
2. 30/100 → 3/10

Convert to Mixed Number if Needed:

150% → 150/100 → 3/2 or 1 1/2