Simplify Fractions
Reduce a fraction to lowest terms with the GCF steps shown, plus its decimal and percent value. Further down you can also add, subtract, multiply and divide two fractions.
How to reduce a fraction to lowest terms
A fraction is in lowest terms when the numerator and denominator share no divisors other than 1. The fastest method is to divide both by their greatest common factor: for 8/12 the GCF is 4, so 8 ÷ 4 = 2 and 12 ÷ 4 = 3, and the fraction becomes 2/3. This tool finds the GCF with the Euclidean algorithm — the same repeated-division method you'd use by hand — and shows every step, so you can copy the work straight into your homework.
The four fraction operations, without mistakes
Adding or subtracting requires a common denominator: you cross-multiply (a/b ± c/d = (a×d ± c×b)/(b×d)) and then simplify. Multiplication is the easiest: numerator times numerator, denominator times denominator. Division turns into multiplication by the reciprocal: dividing by 2/3 means multiplying by 3/2. The most common mistake is forgetting the final simplification — this calculator always does it and tells you which GCF it used.