Convert proper, improper, mixed and negative fractions into percentages, with simplification and exact repeating results.
To convert a fraction to a percent, divide the numerator by the denominator and multiply the result by 100. For example, 5 ÷ 8 = 0.625, and 0.625 × 100 = 62.5%, so 5/8 equals 62.5%. Some fractions, such as 1/3, give a repeating percentage — this calculator marks those clearly and lets you choose the rounding.
Whole numbers only. For 1½ enter Whole 1, Numerator 1, Denominator 2. Put a minus sign on the whole number or the numerator.
Enter the numerator (top) and denominator (bottom). For a mixed number such as 1½, put 1 in the whole box, 1 in the numerator and 2 in the denominator. Improper fractions like 7/4 and negatives like -3/5 work too — put the minus sign on the whole number or the numerator. If the result repeats, choose how many decimal places you want. Press Convert, then Copy result if you need it elsewhere.
Divide the top by the bottom to get a decimal, then multiply by 100 to turn that decimal into a percentage. Multiplying by 100 first gives exactly the same answer and often keeps the numbers tidier, which is how this calculator works internally.
top ÷ bottom × 100top × 100 ÷ bottom→ 50% 1/4 → 25% 3/4 → 75%→ 20% 5/8 → 62.5% 3/2 → 150%
A fraction tells you a part of one whole. A percentage tells you the same part out of one hundred. Dividing gives the value "per one", and multiplying by 100 rescales it to "per hundred" — which is exactly what percent means.
Simplifying a fraction never changes its percentage: 2/4 = 1/2 = 50%, 6/8 = 3/4 = 75%, and 15/20 = 3/4 = 75%. The calculator shows the simplified form using the greatest common divisor, which also makes it easier to see whether the result will terminate or repeat.
A proper fraction has a numerator smaller than its denominator, so a positive proper fraction always gives a result from 0% up to (but not including) 100%. Examples: 1/4 = 25%, 3/5 = 60% and 7/8 = 87.5%.
An improper fraction has a numerator equal to or greater than its denominator, so it gives 100% or more: 5/4 = 125%, 3/2 = 150%, 7/4 = 175% and 2/1 = 200%.
Convert a mixed number to an improper fraction first, using whole × denominator + numerator. For 1½: 1 × 2 + 1 = 3, giving 3/2 = 150%. For 2¼: 2 × 4 + 1 = 9, giving 9/4 = 225%.
For a negative mixed number, convert the whole and fractional parts using their sizes first, then apply the minus sign to the whole result. So -1½ becomes -(1 × 2 + 1) = -3/2 = -150%, not (-1 × 2) + 1. The calculator follows this rule automatically.
A negative fraction gives a negative percentage: -1/4 = -25%, -3/5 = -60% and -3/2 = -150%. Put the minus sign on the whole number or the numerator, and keep the denominator positive to avoid confusion.
After simplifying, a fraction gives a terminating result only when its denominator has no prime factors other than 2 and 5. So 1/8 = 12.5% and 3/20 = 15% both end neatly. Denominators with other factors repeat forever: 1/3 = 33.333…% and 2/7 = 28.571428…%. The calculator marks repeating results and only rounds when it has to — a rounded answer is never labelled exact.
| Fraction | Percent |
|---|---|
| 0/1 | 0% |
| 1/10 | 10% |
| 1/8 | 12.5% |
| 1/5 | 20% |
| 1/4 | 25% |
| 1/3 | 33.333…% |
| 2/5 | 40% |
| 1/2 | 50% |
| 3/5 | 60% |
| 5/8 | 62.5% |
| 2/3 | 66.666…% |
| 3/4 | 75% |
| 4/5 | 80% |
| 5/6 | 83.333…% |
| 7/8 | 87.5% |
| 9/10 | 90% |
| 1/1 | 100% |
| 5/4 | 125% |
| 3/2 | 150% |
| 2/1 | 200% |
| Fraction | Decimal | Percent |
|---|---|---|
| 1/10 | 0.1 | 10% |
| 1/8 | 0.125 | 12.5% |
| 1/5 | 0.2 | 20% |
| 1/4 | 0.25 | 25% |
| 1/3 | 0.333… | 33.333…% |
| 1/2 | 0.5 | 50% |
| 5/8 | 0.625 | 62.5% |
| 2/3 | 0.666… | 66.666…% |
| 3/4 | 0.75 | 75% |
| 7/8 | 0.875 | 87.5% |
| 1 | 1 | 100% |
| 5/4 | 1.25 | 125% |
| 3/2 | 1.5 | 150% |
Any fraction worth more than one whole gives a percentage above 100%. For example 3/2 = 150% and 2/1 = 200%. Watch the wording: a value at 200% is twice the reference amount, which is a 100% increase, not a 200% increase.
Fractions become percentages all the time: turning a test score like 17/20 into 85%, reading survey results, working out discounts, expressing probability, comparing sports statistics, scaling recipe proportions, reporting financial ratios, and presenting data where percentages are easier to compare than fractions.
1) 20% 2) 75% 3) 40% 4) 70% 5) 50%
1) 87.5% 2) 125% 3) 225% 4) ≈ 66.666667% 5) -60%
How do you convert a fraction to a percent?
Divide the numerator by the denominator, then multiply the result by 100. For example, 5 divided by 8 = 0.625, and 0.625 times 100 = 62.5%, so 5/8 equals 62.5%.
What is 1/2 as a percent?
1/2 as a percent is 50%, because 1 divided by 2 = 0.5, and 0.5 times 100 = 50.
What is 1/4 as a percent?
1/4 as a percent is 25%, because 1 divided by 4 = 0.25, and 0.25 times 100 = 25.
What is 3/4 as a percent?
3/4 as a percent is 75%, because 3 divided by 4 = 0.75, and 0.75 times 100 = 75.
What is 1/3 as a percent?
1/3 as a percent is 33.333… %, a repeating result. Rounded to six decimal places it is about 33.333333%.
What is 2/3 as a percent?
2/3 as a percent is 66.666… %, a repeating result. Rounded to six decimal places it is about 66.666667%.
What is 5/8 as a percent?
5/8 as a percent is 62.5%, because 5 divided by 8 = 0.625, and 0.625 times 100 = 62.5.
What is 7/8 as a percent?
7/8 as a percent is 87.5%, because 7 divided by 8 = 0.875, and 0.875 times 100 = 87.5.
How do you convert an improper fraction to a percent?
Use the same method: divide the numerator by the denominator and multiply by 100. Because the numerator is larger, the answer is 100% or more. For example, 7/4 = 175%.
How do you convert a mixed number to a percent?
First turn it into an improper fraction using whole times denominator plus numerator, then convert. For 1 1/2, that is 1 times 2 plus 1 = 3, so 3/2 = 150%.
Can a fraction equal more than 100%?
Yes. Any fraction worth more than one whole gives a percentage above 100%. For example, 3/2 = 150% and 2/1 = 200%.
How do you convert a negative fraction to a percent?
Convert as usual and keep the minus sign. For example, -3/5 = -60%. Put the minus sign on the whole number or the numerator and keep the denominator positive.
Why do some fraction percentages repeat?
After simplifying, a fraction gives a result that ends only when the denominator has no prime factors other than 2 and 5. Denominators with factors such as 3, 6 or 7 never divide evenly, so the digits repeat forever.
Should you simplify a fraction before converting it?
You do not have to, because simplifying never changes the value or the percentage. It often makes the division easier, so 15/20 is simpler to convert once it is reduced to 3/4.
Is this Fraction to Percent Calculator free?
Yes. It is free with no sign-up, works on any device, and runs in your browser so your entries stay private.