Math

Simplify Fraction Calculator

Reduce any fraction to lowest terms.

Enter your values

Enter the numerator you are working with.

Enter the denominator you are working with.

Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.

Results
Simplified fraction
2/3
Greatest common divisor
42
Mixed number
2/3
Decimal
0.666667

Working

  1. 1GCD(84, 126) = 42
  2. 284 ÷ 42 = 2, 126 ÷ 42 = 3

Quick answer

A fraction is simplified by dividing the numerator and denominator by their greatest common divisor.

a/b ÷ gcd(a,b)

At a glance

What it doesReduce any fraction to lowest terms.
CategoryMath
Inputs neededNumerator, Denominator
Main outputSimplified fraction
Formulaa/b ÷ gcd(a,b)
CostFree — no sign-up, no download

How to use the Simplify Fraction Calculator

  1. 1Enter the numerator.
  2. 2Enter the denominator.
  3. 3Read the fraction in lowest terms.

Inputs explained

Numerator
Enter the numerator you are working with.
Denominator
Enter the denominator you are working with.

Worked example

Using the values the calculator loads with:

Inputs

  • Numerator84
  • Denominator126

Results

  • Simplified fraction2/3
  • Greatest common divisor42
  • Mixed number2/3
  • Decimal0.666667
  1. GCD(84, 126) = 42
  2. 84 ÷ 42 = 2, 126 ÷ 42 = 3

Frequently asked questions

How do I find the GCD?

Use the Euclidean algorithm: repeatedly replace the larger number with the remainder of dividing it by the smaller until one is zero.

Is 6/8 the same as 3/4?

Yes, they are equivalent fractions. 3/4 is the simplified form because 3 and 4 share no common factor above 1.

What do I need to enter into the Simplify Fraction Calculator?

Just 2 values: numerator, denominator. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.

How does the Simplify Fraction Calculator work out the answer?

A fraction is simplified by dividing the numerator and denominator by their greatest common divisor. It applies the formula a/b ÷ gcd(a,b) and shows the working so you can check each step by hand.

Is the Simplify Fraction Calculator free, and do I need an account?

It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.