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
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.
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