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Fraction Calculator

Simplify a fraction and convert it to a decimal and a percent.

Free to use, no sign-up required. Fraction Calculator is one of 198 tools built into Xenition, alongside a chat that can use them for you.

Reduces a fraction to its lowest terms and converts it to a decimal and a percentage.

How to use Fraction Calculator

  1. Enter the Numerator, the top number.
  2. Enter the Denominator, the bottom number, which cannot be 0.
  3. Read the Simplified fraction, the Decimal and the Percent.

How it works

Both numbers are rounded to whole numbers, then divided by their greatest common divisor, found with Euclid’s algorithm. A minus sign is moved to the numerator, so 18/−24 becomes −3/4. The decimal is numerator ÷ denominator to six decimal places, and the percent is that × 100 to three.

Example

18/24 has a greatest common divisor of 6, so it simplifies to 3/4, which is 0.75 or 75%. 2/3 is 0.666667, or 66.667%.

Questions about Fraction Calculator

How do I simplify an improper fraction to a mixed number?

Divide the numerator by the denominator. The whole-number result is the whole part and the remainder sits over the same denominator: 11/4 is 2 remainder 3, so 2 3/4.

Why does 1/3 show as 0.333333 and not exactly?

Thirds, sixths, sevenths and many others repeat forever in decimal, so the decimal is cut off at six places. The simplified fraction is the exact value.

Use it from chat

You do not have to open Fraction Calculator to use it. Ask Xenition in plain language and it runs the right tool, then carries the answer into whatever you are working on — a document, a spreadsheet, a deck.

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