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- Converts a fraction or a score like 16 out of 20 into a percent.
- Works with mixed numbers such as 1 1/4 = 125%.
- Also converts a percent back into a simplified fraction, such as 12.5% = 1/8.
- Shows the decimal, the simplified fraction and each step.
How to use the fraction to percent calculator
Choose the direction
Pick fraction to percent, or percent to fraction.
Enter the numbers
For a fraction, type the top and bottom. For a score like 16 out of 20, type 16 and 20.
Add a whole number (optional)
Open the advanced options for mixed numbers such as 4 3/4, and to choose decimal places.
Read the result
The percent appears with the decimal, simplified fraction and the working.
How to convert a fraction to a percent
Fraction to percent
Percent = (numerator ÷ denominator) × 100
Divide the top by the bottom to get a decimal, then move the decimal point two places to the right.
Percent to fraction
Fraction = percent / 100, then simplify
12.5% = 12.5/100 = 125/1000 = 1/8.
Example 1: 16 out of 20
A test score.
- 16 ÷ 20 0.8
- × 100 80%
- Simplified fraction 4/5
The 4 missed points are the remaining 20%.
Example 2: 1 1/4
A mixed number.
- As an improper fraction 5/4
- 5 ÷ 4 1.25
- Percent 125%
Any fraction larger than 1 gives a percent above 100%.
Common fractions as percents
Handy values to remember.
- 1/2 50%
- 1/3 33.33%
- 1/4 25%
- 1/5 20%
- 1/8 12.5%
- 2/3 66.67%
- 3/4 75%
- 4/5 80%
- 3/5 60%
Fractions with 3 in the denominator give repeating decimals, so their percents are rounded.
Where a fraction to percent calculator helps
Test scores and grades
Turn 18 out of 20 or 45 out of 50 into a percent grade.
Surveys and results
Show how many people out of a group chose an answer.
Discounts and deals
Turn “1/3 off” into a percent discount.
Homework
Check fraction, decimal and percent conversion questions.
To find a percent of a number or a percent change, use the percentage calculator. Convert decimals the other way with the decimal to fraction calculator, and work out a class average with the grade calculator.
Fraction to percent calculator FAQ
How do you convert a fraction to a percent?
Divide the numerator by the denominator and multiply by 100. For 3/4: 3 ÷ 4 = 0.75, and 0.75 × 100 = 75%.
What is 16 out of 20 as a percentage?
16 ÷ 20 = 0.8, so it is 80%.
What is 4/5 as a percent?
4 ÷ 5 = 0.8, which is 80%.
How do I convert a percent to a fraction?
Write the percent over 100 and simplify. 40% = 40/100 = 2/5.
Can a percent be more than 100?
Yes. If the top of the fraction is larger than the bottom, the percent is over 100%. For example 5/4 = 125%.
How many decimal places should I use?
Two is common for grades and reports. You can choose from 0 to 4 in the advanced options.