Fraction Simplifier
How It Works
This fraction simplifier uses established formulas to provide accurate results.
The basic rule:
- Simplified = numerator/GCF ÷ denominator/GCF
- GCF found using Euclidean algorithm: gcd(a, b) = gcd(b, a mod b)
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
How do you simplify a fraction?
Find the greatest common factor (GCF) of the numerator and denominator, then divide both by that number. For example, to simplify 12/18, the GCF is 6, so 12÷6 = 2 and 18÷6 = 3, giving you 2/3.
What is the greatest common factor (GCF)?
The GCF is the largest number that divides evenly into two or more numbers. For 12 and 18, the factors of 12 are 1,2,3,4,6,12 and the factors of 18 are 1,2,3,6,9,18. The largest shared factor is 6.
How do you know when a fraction is fully simplified?
A fraction is fully simplified when the only common factor between the numerator and denominator is 1. For example, 2/3 is fully simplified because 2 and 3 share no common factors other than 1.
Can improper fractions be simplified?
Yes. Improper fractions (where the numerator is larger than the denominator) can be simplified the same way. For example, 15/10 simplifies to 3/2. You can also convert it to the mixed number 1 1/2.