Fraction to Percent Calculator
Convert any fraction or mixed number to a percentage, or reverse-convert a percentage to its simplified fraction form.
➗ What is a Fraction to Percent Calculator?
Fraction to percent conversion is the process of expressing a fraction as a number out of one hundred. Every fraction has an exact percentage equivalent: divide the numerator by the denominator and multiply by 100. This calculator handles the arithmetic in both directions, converting fractions (including mixed numbers) into percentages and converting any percentage back into its simplest fraction form.
Knowing how to convert fractions to percentages is useful across many everyday situations. In school, test scores are often given as fractions (17/20) but reported as percentages (85%). In cooking, recipe portions like 3/4 cup or 2/3 of a batch become clearer when expressed as 75% or 66.7% of the original. In finance, a return of 7/50 on an investment is more meaningful when stated as 14%. In construction and carpentry, measurements in sixteenths or eighths of an inch translate to precise percentages for tolerance checks.
A common misconception is that only simple fractions have exact percentage equivalents. In fact, any fraction with a denominator that only has 2 and 5 as prime factors (such as 4, 5, 8, 10, 16, 20, 25) converts to a terminating decimal and therefore an exact percentage. Fractions with 3, 6, 7, 9, or 11 in the denominator produce repeating decimals. For example, 1/3 = 33.333...% exactly, a value that never ends. This calculator shows up to 10 significant figures so repeating decimals are clearly visible.
The reverse direction (percent to fraction) is equally important. When a data table shows 62.5% or a discount label says 37.5% off, converting to 5/8 or 3/8 makes it immediately clear what fraction of the whole is involved. This tool simplifies the resulting fraction automatically using the greatest common divisor (GCD) so you always get the most reduced form: 60/100 becomes 3/5, not 60/100.
📐 Formula
📖 How to Use This Calculator
Steps
💡 Example Calculations
Example 1 - Simple Fraction (3/4)
Convert 3/4 to a percentage
Example 2 - Mixed Number (1 and 2/5)
Convert 1 2/5 to a percentage
Example 3 - Repeating Decimal Fraction (1/3)
Convert 1/3 to a percentage
Example 4 - Percent to Fraction (62.5%)
Convert 62.5% to a simplified fraction
❓ Frequently Asked Questions
🔗 Related Calculators
How do you convert a fraction to a percent?
Divide the numerator by the denominator to get a decimal, then multiply by 100 and add the % sign. Formula: Percent = (Numerator / Denominator) x 100. Example: 3/5 = 3 / 5 = 0.6, then 0.6 x 100 = 60%. For mixed numbers, first convert to an improper fraction: 2 3/4 = 11/4, then 11 / 4 x 100 = 275%.
What is 3/4 as a percent?
3/4 as a percent is 75%. Calculation: 3 / 4 = 0.75, then 0.75 x 100 = 75%. This is one of the most important fraction benchmarks. In everyday use: three-quarters of an hour = 45 minutes, 3/4 full = 75% capacity.
What is 1/3 as a percent?
1/3 as a percent is approximately 33.333...% (a repeating decimal). Calculation: 1 / 3 = 0.33333..., then x 100 = 33.33%. It is a non-terminating, non-repeating decimal in percentage form. Rounding to 2 decimal places: 33.33%.
What is 2/3 as a percent?
2/3 as a percent is approximately 66.667%. Calculation: 2 / 3 = 0.66666..., then x 100 = 66.67% (rounded to 2 decimal places). Like 1/3, it is a repeating decimal. Together, 1/3 + 2/3 = 100%, confirming the pair.
How do you convert a mixed number to a percent?
First convert the mixed number to an improper fraction: Improper = Whole x Denominator + Numerator, over the original denominator. Then divide and multiply by 100. Example: 1 3/4 = (1 x 4 + 3) / 4 = 7/4 = 1.75 x 100 = 175%. Or enter the whole number, numerator, and denominator in this calculator to get the answer instantly.
What is 5/8 as a percent?
5/8 as a percent is 62.5%. Calculation: 5 / 8 = 0.625, then 0.625 x 100 = 62.5%. This is an exact terminating decimal because 8 = 2 cubed and the denominator only has 2 as a prime factor.
How do you convert a percent to a fraction?
Write the percent as a fraction over 100, then simplify using the GCD. Example: 75% = 75/100; GCD(75, 100) = 25; simplified = 3/4. Example: 37.5% = 37.5/100 = 375/1000; GCD(375, 1000) = 125; simplified = 3/8. Use the Percent to Fraction mode in this calculator for any value.
What is 1/8 as a percent?
1/8 as a percent is 12.5%. Calculation: 1 / 8 = 0.125, then 0.125 x 100 = 12.5%. The eighths are useful benchmarks: 1/8 = 12.5%, 2/8 = 1/4 = 25%, 3/8 = 37.5%, 4/8 = 1/2 = 50%, 5/8 = 62.5%, 6/8 = 3/4 = 75%, 7/8 = 87.5%.
What is 7/10 as a percent?
7/10 as a percent is 70%. Calculation: 7 / 10 = 0.7, then 0.7 x 100 = 70%. Tenths are easy to convert because you only need to move the decimal one place: n/10 = n x 10%. So 3/10 = 30%, 9/10 = 90%, and so on.
Why do some fractions produce repeating decimals in percent form?
A fraction produces a terminating decimal (and therefore an exact percentage) only when the denominator, in its simplified form, has no prime factors other than 2 and 5. Fractions like 1/3, 1/6, 1/7, 1/9, and 1/11 have 3, 7, or 11 in the denominator and produce repeating decimals. 1/4, 1/5, 1/8, and 1/25 have only 2 or 5 factors and terminate exactly.
What is 3/8 as a percent?
3/8 as a percent is 37.5%. Calculation: 3 / 8 = 0.375, then 0.375 x 100 = 37.5%. This is an exact terminating decimal. In contexts like cooking (3/8 cup) or construction (3/8 inch), converting to 37.5% helps when only a percentage scale is available.
How do you convert 66.67% to a fraction?
66.67% is the rounded form of 2/3. To convert precisely: 66.67 / 100 = 6667/10000; GCD(6667, 10000) = 1, so this does not simplify to a clean fraction. The exact value 2/3 = 66.666...%. When a percent has many decimal places, try to recognise it as a known fraction: 33.33% = 1/3, 66.67% = 2/3, 16.67% = 1/6, 83.33% = 5/6.