Simplify Fractions Calculator

Quick answer

The simplify fractions calculator reduces a fraction to its lowest terms by dividing the numerator and denominator by their greatest common factor. It also shows the mixed number and decimal.

Greatest common factor
—
Simplified numerator
—
Simplified denominator
—
Decimal
—

A fraction is in lowest terms when the numerator and denominator share no factor other than 1.

How to use the Simplify Fractions Calculator

  1. Numerator
  2. Denominator

Results update as you type, and every field accepts the units shown in its menu.

How it works

Find the greatest common factor of the two numbers and divide both by it.

Inputs explained

Field What to enter
Numerator A number
Denominator A number

What each result means

  • Greatest common factor = gcd([Numerator], [Denominator])
  • Simplified numerator = [Numerator] ÷ [Greatest common factor]
  • Simplified denominator = [Denominator] ÷ [Greatest common factor]
  • Decimal = [Numerator] ÷ [Denominator]

Formula

Simplified = (n ÷ gcd) / (d ÷ gcd)

Worked example

Inputs — Numerator: 84; Denominator: 126.
Results — Greatest common factor = 42; Simplified numerator = 2; Simplified denominator = 3; Decimal = 0.66666667.

Frequently asked questions

Do I need to simplify answers?

Teachers usually expect lowest terms unless told otherwise.

What if the GCF is 1?

The fraction is already in lowest terms.

What formula does the Simplify Fractions Calculator use?

Simplified = (n ÷ gcd) / (d ÷ gcd).

Cite this calculator

Speedy Calculator. (2026). Simplify Fractions Calculator. Speedy Calculator. https://speedycalculator.com/calculators/math/simplify-fraction/