Adding and subtracting fractions
Create a common denominator, add or subtract the expanded numerators, and simplify the result.
a/b ± c/d = (a×d ± c×b) / (b×d)
Add, subtract, multiply, divide, and simplify fractions or convert them to decimal, percent, and mixed numbers.
Version 1.0 · Last Updated: August 10, 2026 · Maintained by ToolLarder
The Fraction Calculator performs the four basic operations with automatic simplification. Conversion mode displays a single fraction as a mixed number, decimal, and percentage at the same time.
Create a common denominator, add or subtract the expanded numerators, and simplify the result.
a/b ± c/d = (a×d ± c×b) / (b×d)
Multiply the numerators together and the denominators together, then reduce the fraction using the GCD.
a/b × c/d = (a×c) / (b×d)
Invert the second fraction and multiply. The numerator of the second fraction cannot be zero.
a/b ÷ c/d = (a×d) / (b×c)
Divide the numerator and denominator by their greatest common divisor to find the equivalent fraction in lowest terms.
a/b → (a÷GCD) / (b÷GCD)
Divide the numerator by the denominator. The quotient is the whole part and the remainder becomes the new numerator.
7/3 = 2 1/3
Divide the numerator by the denominator for the decimal and multiply that result by 100 for the percentage.
a ÷ b = decimal → decimal × 100 = percent
Calculate percentages, increases, decreases, percentage difference, and original values.
Calculate arithmetic, geometric, and harmonic means along with sum, minimum, and maximum values.
Calculate weighted averages using grades, credits, and coefficients or find the value needed for a target average.
Solve direct and inverse proportions, calculate scale, and simplify ratios.
Calculate the GCD and LCM of 2–10 numbers with Euclidean steps and prime factorizations.