How do I turn a percent into a fraction by hand?

Write the percent over 100, then reduce. 25% is 25/100; the greatest common divisor of 25 and 100 is 25, so dividing both gives 1/4. The same recipe handles 40% as 40/100 to 2/5 and 60% as 60/100 to 3/5. The converter does the divide-by-100 and the reduction in one step so you never have to hunt for the common factor yourself.

What about a decimal percent like 12.5%?

Treat the decimal place first. 12.5% is 12.5/100, and multiplying top and bottom by 10 clears the decimal to 125/1000. The greatest common divisor of 125 and 1000 is 125, so it reduces to 1/8. The tool does this exactly with integer math rather than floating point, so 12.5% always returns a clean 1/8 and 0.5% returns 1/200.

How do I convert a fraction back to a percent?

Multiply the fraction by 100. 3/4 times 100 is 75, so 3/4 is 75%; 1/8 times 100 is 12.5, so 1/8 is 12.5%. A quick mental shortcut is to make the denominator 100 if you can: 1/4 is 25/100 which reads straight off as 25%. The converter shows the percent and the matching decimal together so you can sanity-check the result.

Why does 150% give an improper fraction like 3/2?

A percent above 100 is a value greater than one whole, so the fraction is improper by definition. 150% is 150/100, which reduces to 3/2, and 3/2 is the mixed number 1 1/2. The tool shows both forms: the reduced improper fraction 3/2 for calculation and the mixed number 1 1/2 for reading. 200% reduces all the way to 2, a whole number.

What happens with a repeating value like 1/3?

1/3 as a percent is 33.333…% because the threes never stop. The converter shows a rounded figure such as 33.3333% and marks it as non-terminating so you know it is an approximation rather than an exact value. If you need the exact form, keep it as the fraction 1/3; that is the only way to write it without rounding.

Does this work for negative percents?

Yes. A negative percent keeps its sign on the numerator, so -25% becomes -1/4 and -150% becomes -3/2. The reduction logic is identical; only the sign rides along. This is handy for percent change figures where a drop is written as a negative, and you want the fraction equivalent of, say, a -75% swing as -3/4.

Percent to Fraction Converter (and Fraction to Percent)

Percent ⇄ fraction, both ways. 25% becomes 1/4, 3/4 becomes 75%, decimal percents and values over 100% included, fully reduced, browser-only.

Runs locally
Category Format Converter
Best for Turning pasted content or local files into a handoff-friendly format.

Percent

Type 25, 12.5 or 150. A trailing % is optional.

Result

1/4

Fraction: 1/4Decimal: 0.25

What this tool does

A free percent to fraction converter that runs entirely in your browser and works both directions. Going from a percent, it drops the value over 100 and reduces with the greatest common divisor, so 25% lands on 1/4 and 40% on 2/5. Decimal percents are handled exactly: 12.5% becomes 1/8 and 0.5% becomes 1/200, no rounding sleight of hand. A percent over 100 stays an honest improper fraction, so 150% shows 3/2 with the mixed number 1 1/2 right beside it. Going the other way, a fraction turns into a percent by multiplying by 100, so 3/4 reads 75% and the equivalent decimal 0.75 sits next to it. Negatives keep their sign, repeating results like 1/3 are flagged so you know the figure is rounded, and every answer has a one-click copy. Nothing is uploaded and there is no sign-in. 100% client-side.

Tool details

Input: Numbers; The page exposes text boxes, numeric controls, file pickers, or structured inputs depending on the tool.
Output: Live result + Copy; The result area focuses on usable output, with copy, download, or preview actions when supported.
Privacy: Browser-side processing; The main tool logic does not call an external API, so inputs normally stay in the current tab.
Save / share: Shareable URL state; Key settings are encoded in the URL so another person can reopen the same setup.
Performance budget: Initial JS <= 9 KB; No WASM budget is declared, keeping the tool quick to open on mobile.
Best fit: Format Converter · Student; Category and role tags drive related tools, internal links, and quick fit checks.

How to use

1. Input

Paste or drop your content into the tool panel.
2. Process

Click the button. All processing is local in your browser.
3. Copy / Download

Copy the result or download to disk in one click.

How Percent to Fraction Converter fits into your work

Use it when the main problem is getting content from one practical format into another.

Conversion jobs

Turning pasted content or local files into a handoff-friendly format.
Previewing a conversion before you use it in a larger workflow.
Cleaning small format mismatches without opening a full editor.

Conversion checks

Try a small sample first when the source format is messy.
Check character encoding, separators, and line endings after conversion.
Keep the source until the converted output has been reviewed.

Good next steps

These links move the current task into a more complete workflow.

FAQ

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Percent to Fraction Converter (and Fraction to Percent)

What this tool does

Tool details

How to use

1. Input

2. Process

3. Copy / Download

How Percent to Fraction Converter fits into your work

Conversion jobs

Conversion checks

Good next steps

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