About the Fraction to Percent Converter
A fraction, a decimal and a percentage are three ways of writing the same amount. To change a fraction into a percentage, divide the top number by the bottom number and multiply by 100. For 3/8, 3 divided by 8 is 0.375 and 0.375 times 100 is 37.5 percent. This converter does the sums for you and also handles mixed numbers such as 2 3/4, which is 275 percent. It displays the decimal, the percentage, the equivalent improper fraction and the value per mille. Type the parts into the boxes and the answer appears straight away, ready to copy into homework, recipes or reports.
Updated October 2026
How to use the Fraction to Percent Converter
- 1If you have a mixed number, type the whole part first. Otherwise leave it empty.
- 2Type the top number (numerator).
- 3Type the bottom number (denominator).
- 4Read the percentage in the large result.
- 5Check the decimal and the improper fraction below.
Quick table
- 1/2 = 0.5 = 50%.
- 1/3 = 0.3333 = 33.33%.
- 2/3 = 0.6667 = 66.67%.
- 1/6 = 0.1667 = 16.67%.
- 3/8 = 0.375 = 37.5%.
- 7/8 = 0.875 = 87.5%.
Worked example
A test has 40 questions and a student answers 34 correctly. The fraction is 34/40. Dividing gives 0.85, and multiplying by 100 gives 85 percent. In a recipe that calls for 3/4 cup out of a 1 cup jar, 75 percent of the jar is used. Percentages make it easier to compare amounts that were originally written with different denominators, such as 7/20 and 9/25: they are 35 percent and 36 percent.
Percentages from fractions come up everywhere: a discount of 3/10 off is 30 percent, 5/8 of a battery is 62.5 percent and 2 out of 3 voters is about 66.7 percent. Using the converter to check mental maths builds confidence. A good habit is to estimate first: 3/8 is a little less than 1/2, so the answer should be a little under 50 percent. If the tool gives a very different number, check that the top and bottom are in the right boxes.
When you need to compare fractions with different denominators, converting them all to percentages is often the quickest method. For example, 5/12, 3/7 and 4/9 look hard to order, but as percentages they are 41.7 percent, 42.9 percent and 44.4 percent, so the order is clear at once. Convert each one with the tool and sort the percentages. This also works for test scores out of different totals, such as 17/20 against 40/50, which are 85 and 80 percent.
Common slips
Do not divide the bottom by the top, which gives the reciprocal. Remember to multiply by 100 at the end. For mixed numbers, add the whole part to the fraction before multiplying, rather than converting only the fraction. And watch the rounding: many fractions give repeating decimals, so keep the fraction itself when you need an exact value.
Related tools
The Decimal to Percent Converter goes from decimals, the Simplify Fraction Calculator reduces fractions, the Improper Fraction Converter changes between mixed numbers and improper fractions and the Fraction Calculator adds, subtracts, multiplies and divides them.
Features
- Fractions and mixed numbers
- Percentage, decimal and per mille
- Improper fraction shown
- Handles values above 100%
- Rejects a zero denominator
- Copy-ready results
Frequently asked questions
How do I convert a fraction to a percent?
Divide the numerator by the denominator and multiply the answer by 100. For 1/4, 1 ÷ 4 = 0.25, and 0.25 × 100 = 25 percent.
How do I convert a mixed number to a percent?
Turn it into a decimal first: the whole part plus the fraction part. 2 3/4 is 2.75, or 275 percent. In this tool, type 2 in the whole number box, 3 on top and 4 on the bottom.
What is 1/3 as a percent?
About 33.33 percent. One third is 0.3333… as a decimal, with the threes continuing for ever, so a percentage is always rounded.
Can a fraction be more than 100 percent?
Yes. When the top is larger than the bottom, such as 5/4, the fraction is more than one whole and the percentage is above 100: 5/4 = 125 percent.
What fractions should I remember?
1/2 = 50%, 1/4 = 25%, 3/4 = 75%, 1/5 = 20%, 1/8 = 12.5%, 1/10 = 10%. Knowing these lets you check answers quickly.
What if the denominator is zero?
Division by zero is undefined, so the tool shows a message. Fractions need a bottom number other than zero.