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Fraction to Percentage Converter | Free Math Utility

Instantly convert between fractions and percentages with step-by-step explanations, mixed number support, and visualizations.

For mixed fractions (e.g., enter 1 for 1 ¾)

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How it works: Divide the numerator by the denominator, then multiply by 100.

Enter values to see results

Total

Result

75%
Simplified Fraction
3/4
Decimal Equivalent
0.75
Mixed Number
0 3/4

Calculation Steps

How to Convert Fractions to Percentages

  1. 1

    Divide Numerator by Denominator

    Take the top number (numerator) and divide it by the bottom number (denominator).

    3 ÷ 4 = 0.75

  2. 2

    Multiply by 100

    Take the decimal result and multiply it by 100 to get the percentage value.

    0.75 × 100 = 75

  3. 3

    Add the % Sign

    Add the percentage symbol to your result.

    75%

How to Convert Percentages to Fractions

  1. 1

    Write as Fraction over 100

    Remove the % sign and write the number as a numerator over a denominator of 100.

    60% → 60/100

  2. 2

    Simplify the Fraction

    Find the Greatest Common Divisor (GCD) of both numbers and divide them by it.

    60 ÷ 20 = 3, 100 ÷ 20 = 5 → 3/5

Why use this calculator?

Manual calculations can be tricky with complex numbers or repeating decimals. This tool guarantees precision and handles formatting instantly.

  • Supports mixed numbers (e.g. 1 3/4)
  • Handles negative values
  • Visualizes the result

Common Fraction & Percentage Equivalents

Fraction Percentage Decimal
1/2 50% 0.5
1/3 33.33%* 0.333...
1/4 25% 0.25
3/4 75% 0.75
1/5 20% 0.2
1/8 12.5% 0.125
1/10 10% 0.1
* Indicates a repeating decimal value

Real-World Applications

  • Shopping Discounts

    A "1/4 off" sale means a 25% discount on the price.

  • School Grades

    Scoring 18 out of 20 points (18/20) equals a 90% grade.

  • Surveys & Stats

    "3 out of 5 dentists recommend" translates to 60%.

Frequently Asked Questions

Can a fraction be more than 100%?
Yes! If the numerator is larger than the denominator (an improper fraction), the result will be greater than 100%. For example, 5/4 = 125%.
Why is my result a repeating decimal?
Fractions like 1/3 divide into infinite repeating decimals (0.333...). Our calculator rounds these to your selected decimal place for readability.
Are my calculations private?
Yes. All calculations happen instantly in your browser. No data is sent to any server.

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