Fraction to Percentage Converter

Fraction to Percentage Converter – And Percentage to Fraction
Free Tools

Fraction to Percentage Converter

Convert any fraction to a percentage, or any percentage to a fraction. Instant result, simplified form included.

Fraction
→ %
Check your inputs. Denominator cannot be 0.
Result
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Fraction
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Decimal
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Percentage

Try:

How It Works

This converter handles two directions. You can go from a fraction to a percentage, or from a percentage to a fraction. Both are one-step calculations, but this tool also simplifies the fraction and shows you all three forms: fraction, decimal, and percentage together.

Fraction to Percentage

Percentage = (Numerator / Denominator) × 100
Example: 3/4 = (3 / 4) × 100 = 75%

Percentage to Fraction

Step 1: Write as fraction over 100 (e.g. 75% = 75/100)
Step 2: Simplify by dividing both numbers by their GCD
Example: 75% = 75/100, GCD(75, 100) = 25, so 75/100 = 3/4

The simplification step uses the Greatest Common Divisor (GCD), which sounds complicated but just means finding the biggest number that divides evenly into both the top and bottom of the fraction. The converter does this automatically.

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When People Actually Use This

School and exam questions

This is the most common use. A student gets 17 out of 20 on a test. What’s that as a percentage? Enter 17/20 and get 85% instantly. Or a teacher says attendance was 87.5% and a student wants to know what fraction that is: 7/8.

Cooking and recipes

A recipe calls for 2/3 cup of something. You need to express that as a percentage of a full cup. (2/3) x 100 = 66.67%. Or a recipe calls for 37.5% of a cup and you want the fraction equivalent for measuring: 3/8.

Finance and ownership stakes

A shareholder owns 3/8 of a company. What percentage is that? 37.5%. Or a partner owns 62.5% of a business and wants to know the simplified fraction: 5/8. Both conversions come up in shareholder agreements, wills, and business documents.

Probability and statistics

A probability is given as 1/6 (rolling a specific number on a die). What is that as a percentage? 16.67%. Or a statistical result shows a 40% probability and you need the fraction: 2/5. Simplified fractions are often cleaner to work with than decimal percentages.

Discounts and proportion calculations

A store is offering 1/5 off a product. What percentage discount is that? 20%. Or a 30% discount is mentioned and you want to quickly verify the fraction: 3/10. Both directions come up in shopping and price comparison.

Quick tip When converting a percentage with decimals (like 33.33%) to a fraction, the result may be a close approximation rather than an exact match. For example, 33.33% gives 3333/10000, which simplifies to 3333/10000 (since 3 and 10000 share no common factor). The true fraction for one-third is 1/3, which equals 33.333…% repeating. Enter exactly 33.3333 for a cleaner result.
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Table of Truth: Common Fractions and Their Percentages

Use this table to verify your result quickly without entering anything.

FractionDecimalPercentageNotes
1/20.550.00%Half
1/30.3333…33.33%Recurring
2/30.6666…66.67%Recurring
1/40.2525.00%Quarter
3/40.7575.00%Three-quarters
1/50.220.00%One-fifth
2/50.440.00%Two-fifths
1/80.12512.50%One-eighth
3/80.37537.50%Three-eighths
5/60.8333…83.33%Recurring

Common Mistakes People Make

Mistake 1: Putting the numbers in upside down The numerator is the top number (the part). The denominator is the bottom number (the whole). If you enter 4/3 when you mean 3/4, you get 133.33% instead of 75%. The converter labels both fields clearly to prevent this.
Mistake 2: Expecting a clean fraction from a repeating decimal percentage 1/3 = 33.333…% which never ends. If you enter 33.33 into the percentage-to-fraction mode, you’ll get 3333/10000, which is close but not exact. For the exact fraction of a repeating decimal, you need to know the original fraction. The converter notes when a result may be approximate.
Mistake 3: Confusing improper fractions with errors A fraction where the numerator is larger than the denominator (like 5/4) is called an improper fraction. It is valid and converts to a percentage over 100% (125%). This is not an error. The converter handles improper fractions correctly.

Frequently Asked Questions

How do I convert a fraction to a percentage?
Divide the top number by the bottom number, then multiply by 100. Example: 3/4 = (3 / 4) x 100 = 75%.
What is 3/4 as a percentage?
3/4 as a percentage is 75%. Calculation: (3 / 4) x 100 = 75%.
What is 1/3 as a percentage?
1/3 as a percentage is approximately 33.33% (it is a repeating decimal: 33.333…%). The exact value never terminates.
How do I convert a percentage to a fraction?
Write the percentage over 100, then simplify. Example: 75% = 75/100. The GCD of 75 and 100 is 25, so 75/100 = 3/4.
What is 50% as a fraction?
50% as a fraction is 1/2. Calculation: 50/100, simplified by dividing both by 50 = 1/2.
Can I convert a fraction where the top is bigger than the bottom?
Yes. An improper fraction (like 5/4 or 7/3) converts to a percentage over 100%. For example, 5/4 = 125% and 7/3 = 233.33%.
Is this converter free?
Yes. No signup, no login, no data collected. Enter your numbers and get your result.

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