Fraction to Percentage Calculator
Convert any fraction to a percentage instantly. Enter the numerator (top number) and denominator (bottom number) to see the percentage equivalent.
Percentage to Fraction Calculator
Convert any percentage back to a fraction. Enter the percentage to see its fraction equivalent in simplified form.
Decimal to Percentage Calculator
Convert any decimal to a percentage. Simply enter the decimal value and see the percentage instantly.
Converting between fractions, decimals, and percentages is a fundamental maths skill. Whether you are working on homework, calculating grades, or analysing data, this calculator makes conversions instant and shows you exactly how the maths works.
For more percentage calculations, visit our percentage calculator or check out our complete guide on how to calculate percentages.
How to Convert Fraction to Percentage
Converting a fraction to a percentage is a simple two-step process:
Step-by-step method:
- Divide the numerator (top number) by the denominator (bottom number)
- Multiply the result by 100
- Add the % symbol
Answer: 3/4 = 75%
Answer: 5/8 = 62.5%
How to Convert Percentage to Fraction
To convert a percentage to a fraction:
Step-by-step method:
- Write the percentage as a fraction over 100
- Simplify by finding the greatest common divisor (GCD)
- Divide both numbers by the GCD
Answer: 75% = 3/4
Answer: 40% = 2/5
How to Convert Decimal to Percentage
Converting a decimal to a percentage is the easiest conversion:
Simply multiply the decimal by 100 (or move the decimal point two places to the right).
Common Fraction to Percentage Conversions
Here are the most commonly used fraction to percentage conversions. Memorising these makes quick mental calculations easy:
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.33% |
| 2/3 | 0.666… | 66.67% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 3/5 | 0.6 | 60% |
| 4/5 | 0.8 | 80% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/10 | 0.1 | 10% |
| 1/100 | 0.01 | 1% |
Eighths as Percentages
Eighths are commonly used in stock prices and measurements. Here is the complete reference:
| Fraction | Percentage | Decimal |
|---|---|---|
| 1/8 | 12.5% | 0.125 |
| 2/8 (1/4) | 25% | 0.25 |
| 3/8 | 37.5% | 0.375 |
| 4/8 (1/2) | 50% | 0.5 |
| 5/8 | 62.5% | 0.625 |
| 6/8 (3/4) | 75% | 0.75 |
| 7/8 | 87.5% | 0.875 |
| 8/8 | 100% | 1.0 |
Thirds as Percentages
Thirds create repeating decimals, so their percentages are often rounded:
| Fraction | Exact Decimal | Percentage |
|---|---|---|
| 1/3 | 0.333… | 33.33% (or 33 1/3%) |
| 2/3 | 0.666… | 66.67% (or 66 2/3%) |
| 1/6 | 0.1666… | 16.67% |
| 5/6 | 0.8333… | 83.33% |
When a fraction creates a repeating decimal (like 1/3 = 0.333…), the percentage is often written with the fraction: 33 1/3%. This is exact, while 33.33% is a rounded approximation.
Fraction to Percentage Examples
Here are more examples showing fraction to percentage conversions in real-world contexts:
Example 1: Test Score
Your score: 72%
Example 2: Survey Results
Agreement rate: 75%
Example 3: Discount
Discount: 20% off
Example 4: Completion Rate
Completion: 87.5%
Need to calculate discounts or tips? Try our discount calculator or tip calculator.
Simplifying Fractions
Before converting, it helps to simplify fractions to their lowest terms. To simplify:
- Find the greatest common divisor (GCD) of both numbers
- Divide both numerator and denominator by the GCD
Simplified: 24/36 = 2/3
The calculator above automatically shows you the simplified form of any fraction you enter.
Frequently Asked Questions
Divide the numerator (top number) by the denominator (bottom number), then multiply by 100. For example, 3/4: divide 3 by 4 to get 0.75, then multiply by 100 to get 75%.
1/4 = 25%. Divide 1 by 4 to get 0.25, then multiply by 100 to get 25%.
3/5 = 60%. Divide 3 by 5 to get 0.6, then multiply by 100 to get 60%.
Write the percentage over 100, then simplify. For 60%: write 60/100, find the GCD (20), divide both by 20 to get 3/5.
1/3 = 33.33% (repeating). The exact value is 33 1/3%. The decimal 0.333… goes on forever, so the percentage is typically rounded to 33.33%.
First convert to an improper fraction, then to a percentage. For 1 1/2: convert to 3/2, then 3/2 = 1.5 = 150%. Mixed numbers greater than 1 will always be more than 100%.
7/10 = 70%. Divide 7 by 10 to get 0.7, then multiply by 100 to get 70%. Fractions with 10 as the denominator are easy – just move the decimal.
Multiply by 100 as normal, keeping the repeating portion. For 0.333…, multiply by 100 to get 33.333…%, which is written as 33.33% or 33 1/3%.
Related Calculators
Back to Percentage Calculator for more calculation tools.