Skip to content
1001 Tools
sr
Math & education

Fraction Simplifier

Enter a fraction — plain like 8/12, a mixed number, or an improper one — and get it reduced to lowest terms, along with the number it was divided by, the mixed-number form and the decimal. Everything runs in your browser.

Simplified

2/3

8/12 ÷ 4 = 2/3

Decimal:
0.666667

Uses the Euclidean algorithm for the GCD. Everything is computed locally in your browser.

How it works

Reducing a fraction means dividing the numerator and denominator by their greatest common divisor (GCD). For 8/12 the GCD is 4, so both parts divide by 4 to give 2/3. The tool computes the GCD with the Euclidean algorithm and shows it, so you can see exactly what was cancelled.

A negative sign is moved to the numerator and the denominator is kept positive, so -3/-6 and 3/6 both reduce to 1/2. Improper fractions (numerator larger than denominator) are also shown as a mixed number, and every result carries its decimal value.

Practical examples

Reducing 8/12

The GCD of 8 and 12 is 4, so 8/12 = 2/3. The tool shows “8/12 ÷ 4 = 2/3” so the step is clear.

An improper fraction to a mixed number

9/6 reduces to 3/2, which is also 1 1/2 as a mixed number and 1.5 as a decimal — all three are shown.

Already in lowest terms

Enter 3/4 and the tool confirms it’s already reduced (GCD 1), so there’s nothing to cancel.

Frequently asked questions

What does it mean to simplify a fraction?

To write it with the smallest whole numbers that keep the same value, by dividing the top and bottom by their greatest common divisor. 8/12, 4/6 and 2/3 are all equal; 2/3 is the simplified form.

How do I find the greatest common divisor?

The tool uses the Euclidean algorithm: repeatedly replace the larger number with the remainder of dividing it by the smaller, until one becomes zero. The last non-zero value is the GCD — 4 for 8 and 12.

Can I simplify a mixed number?

Yes. Enter it like 2 2/4 and it’s converted to an improper fraction (10/4), reduced to 5/2, and shown back as the mixed number 2 1/2.

What happens with an improper fraction?

It’s reduced like any other and additionally shown as a mixed number. 9/6 becomes 3/2, displayed as 1 1/2. Improper fractions are perfectly valid — the mixed form is just an alternative reading.

How are negative fractions handled?

The sign is normalised onto the numerator and the denominator stays positive. So -3/-6 and 3/-6 both simplify cleanly — the first to 1/2, the second to -1/2.

What if the fraction is already reduced?

The tool tells you so and leaves it unchanged. A GCD of 1 means the numerator and denominator share no common factor, like 3/4 or 5/9.

Why show the decimal too?

It’s a quick way to verify the fraction and to use the value elsewhere. It’s rounded to six places, so 2/3 shows as 0.666667.

Can the denominator be zero?

No — a fraction with a zero denominator is undefined, so the tool shows an error. Any non-zero denominator, positive or negative, is fine.

Is anything I enter uploaded?

No. The calculation runs entirely in your browser; nothing you type is sent anywhere and analytics never receives it.

Related tools