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 writes out the steps, the GCF and the two divisions, 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.
The decimal and nearby tools
Under the reduced fraction there are also its decimal value and the percentage: exact when they fit in a few digits, with a line over the digits that repeat, and rounded with the ≈ sign when they're longer. The full working, with the repeating part in brackets and its length, is done by Fraction to decimal; the opposite direction is Decimal to fraction, and to find out what a fraction of a quantity is worth there is Fraction of a number.