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Fraction Calculator

Simplify a fraction and see it as a mixed number, decimal and percentage.

Quick answer

  • Formula: Simplified = (Numerator ÷ GCD) / (Denominator ÷ GCD)
  • Worked example — Simplified fraction: 3/4 (full example below).

Fraction Calculator

Worked example result
Simplified fraction3/4
Mixed number3/4
Decimal0.7500
Percentage75.00%

6/8 simplifies to 3/4, because both numbers divide by their GCD of 2. As a decimal that is 0.75, or 75%.

Diagram: how the Fraction Calculator works — you enter Numerator (top number), Denominator (bottom number); it applies the formula Simplified = (Numerator ÷ GCD) / (Denominator ÷ GCD); and the worked example gives Simplified fraction: 3/4.
How the Fraction Calculator works — the inputs, the formula, and a worked example (Simplified fraction: 3/4).

Simplifying a fraction means dividing the top (numerator) and bottom (denominator) by their greatest common divisor so the fraction is written in its smallest whole-number terms — 6/8 becomes 3/4.

Enter any numerator and denominator. Alongside the simplified fraction you get the mixed number (for improper fractions like 7/3, which becomes 2 1/3), the decimal value and the equivalent percentage.

The formula

Simplified = (Numerator ÷ GCD) / (Denominator ÷ GCD)

Worked example

6/8 simplifies to 3/4, because both numbers divide by their GCD of 2. As a decimal that is 0.75, or 75%.

Worked example for the Fraction Calculator: with Numerator (top number) 6, Denominator (bottom number) 8, the result is Simplified fraction: 3/4; Mixed number: 3/4.
The worked example, with the example values entered and the results they give.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

What is an improper fraction?

A fraction where the numerator is larger than the denominator, such as 7/3. It can be rewritten as a mixed number — 7/3 is 2 1/3 — which is often easier to picture.

How do I turn a fraction into a decimal?

Divide the numerator by the denominator. 3/4 is 3 ÷ 4 = 0.75. Some fractions repeat forever, like 1/3 = 0.333…, and are shown rounded to 4 decimal places here.

Why simplify fractions at all?

Simplest terms are easier to compare, add and communicate. Saying a recipe needs 3/4 cup is clearer than 6/8 cup, even though they are the same amount.

Category: Math calculators

Sources & methodology

This calculator applies the formula shown on this page exactly as written, using the standard definitions for its inputs. Results are computed from the values you enter — no data is stored — and are rounded only for display.

Content last reviewed by CalcHub Editorial.

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