Percent to Fraction Calculator

Percent to Fraction Calculator – Convert Easily & Accurately

A Percent to Fraction Calculator simplifies the process of converting any percentage—whether whole, decimal, or over 100%—into a precise fraction or mixed number. Perfect for math students, financial analysts, cooking measurements, and anyone dealing with ratios or discounts.

Understanding Percent to Fraction Conversion

A percentage is literally a "per hundred" value. Converting it to a fraction means removing the “%” and placing the number over 100:

• Step 1: Remove the % symbol and write the percent as a fraction over 100.
• Step 2: If needed, convert to a mixed number when over 100%.
• Step 3: Simplify the fraction using the Greatest Common Factor (GCF).

Examples:

• 75% → 75/100 → simplified to 3/4
• 150% → 150/100 = 3/2 = 1½

Detailed Conversion Steps

1. Write the percentage over 100
2. Example: 35.5% becomes 35.5 / 100.
3. Eliminate the decimal
4. Multiply top and bottom by 10ⁿ (n = number of decimal places).
5. Example: 35.5% → 0.355 → 355/1000.
6. Simplify the fraction
7. Divide numerator and denominator by their greatest common factor.
8. Example: 355/1000 ÷ 5 = 71/200.

Example Conversions

Here are some common percentage-to-fraction conversions:

• 50% → 50/100 → 1/2
• 62.5% → 62.5/100 → 625/1000 → 5/8
• 150% → 150/100 → 3/2 → 1½
• 16.67% → 16.67/100 → approximately 1/6

Why This Calculator Makes It Easy

• Handles whole, decimal, and mixed percentages effortlessly.
• Automatically reduces fractions to simplest form.
• Converts to improper or mixed numbers when applicable.
• Ideal for math learning, cooking ratios, financial analysis, or any context needing precise fractional representation.

Frequently Asked Questions (FAQ)

Q1: How do I convert a percentage to a fraction?

Remove the %, write the number over 100, then simplify. Example: 25% → 25/100 → 1/4.

Q2: What if the percentage includes decimals?

Convert the decimal into a whole number by multiplying numerator and denominator by 10ⁿ. Example: 7.5% → 75/1000 → 3/40.

Q3: How do I convert a percentage greater than 100%?

You’ll get an improper fraction—simplify it or express it as a mixed number. Example: 125% → 125/100 = 5/4 = 1¼.

Q4: Why simplify the fraction?

Simplifying makes it easier to read, compare, and use in equations or real-life contexts.

Q5: Can I use this in cooking or finance?

Absolutely—fractional forms are often easier to work with than decimals or percentages, especially for scaling recipes or calculating interest.

Q6: Does “percent” literally mean over 100?

Yes—percent comes from Latin "per centum", meaning “by the hundred.”

Q7: What tools can verify my conversion?

Many online tools, such as CalculatorSoup, RapidTables, InchCalculator, and MathsIsFun, provide step-by-step percent-to-fraction conversions.

In Summary

Use our Percent to Fraction Calculator to instantly convert any percentage—whether it’s 12%, 37.5%, or 125%—into a simplified fraction or mixed number. The tool shows you the work clearly and offers both exact and practical outputs.