Math

Simplify Fractions Calculator

Reduce Any Fraction to Its Simplest Form

Enter a fraction and this calculator reduces it to lowest terms by finding the greatest common divisor (GCD) of the numerator and denominator. Every step of the Euclidean algorithm is shown, so you can learn the method while getting your answer. Works with positive fractions, negative fractions, and improper fractions.

Tips

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Try an Example

Pick a scenario to see how the calculator works, then adjust the values

Add Fractions

Add 1/2 + 1/3 and see the step-by-step solution.

Key values: 1/2 + 1/3 · Common denominators · Simplified result

Simplify a Fraction

Reduce 24/36 to its simplest form using GCD.

Key values: 24/36 · GCD method · Lowest terms

Decimal to Fraction

Convert 0.75 to a fraction and see the work.

Key values: 0.75 · Fraction conversion · Simplified

Mixed Number Division

Divide 2 1/4 by 1 1/2 with mixed number support.

Key values: 2 1/4 ÷ 1 1/2 · Mixed numbers · Step-by-step

Documentation

This calculator is also known as Simplify Fractions Calculator.

Read the complete guide

How to Simplify a Fraction

Simplifying means dividing both numerator and denominator by their GCD.

Find the GCD of the numerator and denominator
Divide both by the GCD
The result is the fraction in lowest terms
If the GCD is 1, the fraction is already simplified

Examples

Simplifying 24/36

A student needs to reduce 24/36 for homework.

GCD(24, 36) = 12. Divide both: 24/12 = 2, 36/12 = 3. Result: 2/3.

Key takeaway: 24/36 = 2/3.

Simplifying Fractions Effectively

Build confidence in reducing fractions to lowest terms:

Start by checking divisibility by small primes (2, 3, 5) before computing the full GCD
If the GCD is 1, the fraction is already in simplest form -- no further work needed
For large numbers, use the Euclidean algorithm: repeatedly divide and take remainders
Practice with the step-by-step panel to internalize the process for exams

Frequently Asked Questions about Simplify Fractions Calculator

What does it mean to simplify a fraction?

Simplifying (or reducing) a fraction means finding an equivalent fraction where the numerator and denominator have no common factors other than 1.

What is the GCD?

The GCD (greatest common divisor) is the largest number that divides both the numerator and denominator evenly. The Euclidean algorithm is the standard method to compute it.