Fraction Calculator
PrintFraction operations — exact integer math
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About fraction operations
This calculator performs exact integer arithmetic for fractions. Results are simplified using the greatest common divisor (GCD). Decimal conversions use long division to the specified number of digits for exact, repeatable output.
Simplifying fractions
Simplifying divides numerator and denominator by their GCD so the fraction is represented in lowest terms. Example: 6/8 simplifies to 3/4.
Adding & subtracting
Fractions are added/subtracted by converting to a common denominator (the least common multiple of each denominator), adjusting numerators, performing the arithmetic, then simplifying the result.
Multiplying & dividing
Multiplication multiplies numerators and denominators then simplifies. Division multiplies by the reciprocal of the divisor (flip numerator/denominator) and then simplifies.
Mixed numbers
A mixed number (e.g., 1 1/2) is a whole part plus a proper fraction. Internally the calculator converts mixed numbers to improper fractions for computation, then converts back if requested.