About this tool
Fractional arithmetic provides exact rational values without rounding errors. This solver automates fractional algebra.
Reduced Fractional Algebra
To add two arbitrary rational fractions without decimal truncation, the solver evaluates:
The result is then automatically reduced to its simplest form by dividing both parameters by their greatest common divisor:
This ensures exact outputs for academic and physical design tasks.
Frequently asked questions
Everything you need to know about Fraction Solver.
Can it add fractions with different denominators?
Yes. When adding or subtracting fractions with different denominators, the solver automatically finds the Least Common Denominator (LCD) using the LCM algorithm, converts both fractions, performs the operation, and simplifies the result to its lowest terms.
How does the solver simplify fractions to lowest terms?
Simplification divides both the numerator and denominator by their Greatest Common Divisor (GCD), calculated using the Euclidean algorithm. For example, 12/16 simplifies to 3/4 because GCD(12, 16) = 4.
Does it handle mixed numbers like 2½?
Yes. Enter mixed numbers in the format 2 1/2 (integer space numerator/denominator). The solver converts them to improper fractions for calculation, then converts the result back to a mixed number if appropriate.
What arithmetic operations does the fraction solver support?
Addition (+), subtraction (−), multiplication (×), and division (÷) between any two fractions or mixed numbers. Each operation shows the step-by-step working so you can follow the mathematical process.
Can the solver convert fractions to decimals and percentages?
Yes. Every result is shown as a simplified fraction, a decimal equivalent (up to 10 decimal places), and a percentage. For repeating decimals like 1/3, the repeating pattern is indicated.