Convert any fraction to a percent — with every step shown. Mixed numbers welcome, repeating decimals flagged honestly, and it works in reverse: percents back to simplified fractions.
🔒 100% client-side — your numbers never leave this browser.Accepts 3/4, mixed numbers like 2 1/2, whole numbers, and decimals.
Decimals welcome. You can even type 33 1/3 for an exact repeating percent.
Tap any fraction to run it through the calculator above with full steps.
| Fraction | Decimal | Percent | Repeats? |
|---|---|---|---|
| 1/2 | 0.5 | 50% | No |
| 1/3 | 0.333… | 33⅓% | Yes |
| 2/3 | 0.666… | 66⅔% | Yes |
| 1/4 | 0.25 | 25% | No |
| 3/4 | 0.75 | 75% | No |
| 1/5 | 0.2 | 20% | No |
| 1/6 | 0.1666… | 16⅔% | Yes |
| 1/8 | 0.125 | 12.5% | No |
| 3/8 | 0.375 | 37.5% | No |
| 5/8 | 0.625 | 62.5% | No |
| 1/10 | 0.1 | 10% | No |
| 2 1/2 | 2.5 | 250% | No |
| 1 3/4 | 1.75 | 175% | No |
Our percent tools each answer a different question. Pick the right one:
| Question you have | Use this tool | Example |
|---|---|---|
| What percent is this fraction? | This page — Fraction to Percent | 3/4 → 75% |
| What fraction is this percent? | This page — Percent → Fraction tab | 12.5% → 1/8 |
| By what percent did a value change? | Percent Change Calculator | 50 → 75 = +50% |
| How different are two values (symmetric)? | Percent Difference Calculator | 10 vs 14 = 33.33% |
| How much did a price drop? | Percentage Decrease Calculator | 100 → 80 = −20% |
| How much did a value grow? | Percent Increase Calculator | 80 → 100 = +25% |
| What decimal is this fraction? | Fraction to Decimal | 3/4 → 0.75 |
| Add / subtract / multiply fractions? | Calculator with Fraction | 1/2 + 1/3 = 5/6 |
Divide the numerator (3) by the denominator (4), then multiply by 100. The decimal 0.75 terminates, so 75% is exact.
Combine the mixed number first: (2 × 2 + 1)/2 = 5/2. Then 5 ÷ 2 = 2.5 and 2.5 × 100 = 250%. Improper fractions give percents over 100%.
Here honesty matters: no decimal display can show this exactly. We show 33.3333…% and tell you the exact value is 33⅓% — instead of silently rounding like most calculators.
The formula is: percent = (numerator ÷ denominator) × 100. “Percent” literally means “per hundred,” so converting is just rescaling the fraction to “how many per 100.” For a mixed number w n/d, combine it into the improper fraction (w×d + n)/d first.
A fraction’s decimal terminates only if its reduced denominator’s prime factors are 2s and 5s (e.g. 1/8 = 0.125 because 8 = 2³). Any other prime factor — like the 3 in 1/3 — means the decimal repeats forever. This calculator checks the prime factors with exact integer math (no floating-point guesswork) and tells you which case you have.
Write the percent over 100 and reduce by the greatest common divisor (GCD): 75% = 75/100, and GCD(75, 100) = 25, giving 3/4. Decimal percents are handled exactly: 12.5% = 125/1000 = 1/8 after reduction.
Put the numerator in A1 and the denominator in B1, then use =A1/B1*100 and format the cell as a percentage — or multiply by 100 and append the % sign yourself. For a mixed number (whole in A1, numerator in B1, denominator in C1): =(A1*C1+B1)/C1*100. Reverse direction (percent in A1 to fraction): enter =A1/100 and format the cell as a Fraction.
Every calculation runs on integer fractions (rational arithmetic), never floating point, so classification and simplification are mathematically exact. The only rounding ever shown is the 4-decimal display of repeating values — and that is always labeled.
Divide the numerator by the denominator, then multiply by 100. For example, 3/4 becomes 3 ÷ 4 = 0.75, then 0.75 × 100 = 75%. This calculator shows every step so you can check the work.
1/3 as a percent is 33.333…% (the 3s repeat forever). No decimal display can show it exactly — the exact value is 33⅓%. This calculator flags repeating decimals honestly instead of silently rounding them.
First convert the mixed number to an improper fraction, then divide and multiply by 100. Example: 2 1/2 = (2 × 2 + 1)/2 = 5/2 = 2.5, and 2.5 × 100 = 250%. Mixed numbers convert instantly in the calculator above.
Write the percent over 100 and simplify using the greatest common divisor (GCD). Example: 75% = 75/100; the GCD of 75 and 100 is 25, so it simplifies to 3/4. For decimals like 12.5%, clear the decimal first (125/1000) and simplify to 1/8.
75% as a fraction is 3/4 in simplest form. You can verify: 75/100 ÷ 25 = 3/4.
Because 3 has a prime factor (3) other than 2 or 5, so 1/3 never terminates as a decimal. Any fraction whose reduced denominator has a prime factor other than 2 or 5 repeats — for example 1/6 (16.666…%), 2/3 (66.666…%), and 1/7 (14.2857…%). The calculator detects this and shows the exact value, like 33⅓%, alongside the rounded display.
Yes. Improper fractions convert to percents over 100%. For example, 5/2 = 2.5 = 250%, and a mixed number like 1 3/4 converts to 175%. Anything greater than 1 means more than 100%.
The same way — the sign carries through. For example, −3/4 = −0.75 = −75%. Negative percents usually mean a decrease or a loss, depending on context.
They are different tools for different questions. Converting a fraction to a percent rewrites one value (3/4 → 75%). Percent change compares two values directionally (from 50 to 75 is a +50% change). This page does the first; for the second, use our percent-change-calculator.
A decimal is the raw division (3/4 = 0.75); a percent is that decimal multiplied by 100 with a % sign (75%). Both describe the same value — percent just means “per hundred.”
Yes — 0.5 and 50% are the same value written differently. 1/2 = 0.5 = 50%. To go from a decimal to a percent, multiply by 100 (move the decimal point two places right).
The display rounds repeating decimals to 4 decimal places and marks them with an ellipsis (…), for example 33.3333…%. But the exact value — 33⅓% — is always shown next to it, so nothing is hidden. Terminating values like 75% or 12.5% are shown exactly, with no rounding at all.
The most useful ones: 1/2 = 50%, 1/4 = 25%, 3/4 = 75%, 1/5 = 20%, 1/8 = 12.5%, 1/3 = 33⅓%, 2/3 = 66⅔%, 1/10 = 10%, and 1/6 ≈ 16.67%. The quick-reference table above covers these and more.
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