Fraction Simplifier
Reduce fractions to simplest form.
Input
Result
What is a Fraction Simplifier?
A Fraction Simplifier reduces a fraction to its lowest terms by dividing both the numerator and denominator by their greatest common factor (GCF). The result is an equivalent fraction written in its simplest form.
How to simplify a fraction manually (the formula)
Find the GCF of the numerator and denominator. Then divide both the numerator and denominator by that GCF. The resulting fraction is in simplest form. If the GCF is 1, the fraction is already simplified.
Example calculation
Simplify 8/12. The factors of 8 are 1, 2, 4, 8. The factors of 12 are 1, 2, 3, 4, 6, 12. The GCF is 4. 8 ÷ 4 = 2, 12 ÷ 4 = 3. So 8/12 simplifies to 2/3.
Common mistakes
- Dividing by the wrong number — Use the GCF, not just any common factor. Dividing by 2 repeatedly works but takes extra steps.
- Forgetting to check if the result can be simplified further — After dividing, verify that the GCF of the new numerator and denominator is 1.
- Simplifying only one part — Always divide both numerator and denominator by the same number to keep the fraction equivalent.
Frequently asked questions
What does it mean to simplify a fraction?
Simplify means dividing the numerator and denominator by their greatest common factor to get the lowest terms.
How do I simplify a fraction manually?
Find the GCF of numerator and denominator, then divide both by the GCF.
What is the simplest form of 8/12?
8/12 simplifies to 2/3.
What is an improper fraction?
An improper fraction has a numerator larger than or equal to its denominator.
Can every fraction be simplified?
Only fractions where the numerator and denominator share a common factor greater than 1.