Fraction Simplifier

Reduce any fraction to its simplest form. This free fraction simplifier divides by the greatest common divisor to give lowest terms, plus the mixed number, decimal and percentage.

Your fraction

Enter a numerator and denominator, and the simplifier reduces the fraction to its lowest terms by dividing both by their greatest common divisor (GCD).

Simplified
Enter a fraction
Mixed number
GCD used
Decimal
Percentage

A fraction is in lowest terms when the numerator and denominator share no common factor other than 1. Negative fractions and improper fractions (top bigger than bottom) are supported.

Use this free fraction simplifier to reduce any fraction to its lowest terms. Enter a numerator and denominator and it divides both by their greatest common divisor, also showing the mixed number, decimal and percentage.

What this fraction simplifier does

fraction simplifier reduces a fraction to its simplest form — the equivalent fraction with the smallest whole numbers. It works by dividing the top and bottom by their greatest common divisor (GCD).

How to simplify a fraction

1. Find the GCD of numerator and denominator
2. Divide both by the GCD

For 8/12, the GCD of 8 and 12 is 4, so 8 ÷ 4 = 2 and 12 ÷ 4 = 3, giving 2/3. The simplifier finds the GCD for you.

Examples

Fraction GCD Simplified
8/12 4 2/3
18/24 6 3/4
100/250 50 2/5
7/2 1 7/2 = 3½

When is a fraction fully simplified?

A fraction is in lowest terms when its numerator and denominator share no common factor other than 1 — that is, their GCD is 1. For example, 13/17 is already simplified.

How to use the fraction simplifier

  1. Enter the numerator (top number).
  2. Enter the denominator (bottom number).
  3. Read the simplified fraction, mixed number and decimal.

Fraction Simplifier FAQ

How do I simplify a fraction?

Divide the numerator and denominator by their greatest common divisor. For 8/12, the GCD is 4, so it simplifies to 2/3. The tool does this automatically.

What does "lowest terms" mean?

A fraction is in lowest terms when the top and bottom share no common factor besides 1. For example, 2/3 can't be reduced further.

How do I know a fraction is fully simplified?

When the GCD of the numerator and denominator is 1. The simplifier shows the GCD it used, so a GCD of 1 means it was already simplified.

Can it handle improper fractions?

Yes. Enter something like 7/2 and it shows both the simplified fraction and the mixed number (3½).

Does it work with negative fractions?

Yes. The sign is placed on the numerator, so 5/−10 simplifies to −1/2.

Is the fraction simplifier free?

Yes, this fraction simplifier is completely free, needs no sign-up, and gives instant results in your browser.

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