Fraction Calculator
Add, subtract, multiply, or divide two fractions and simplify the result.
Enter your values to calculate your result.
Formula
Add/Subtract: (a×d ± c×b) / (b×d) Multiply: (a×c) / (b×d) Divide: (a×d) / (b×c)
Fractions are combined using cross-multiplication so they share a common denominator before adding or subtracting, or multiplied/divided directly for those operations. The result is then simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
Example
1/2 + 1/3 = (1×3 + 1×2) / (2×3) = 5/6, which is already in simplest form, equal to about 0.8333.
Frequently Asked Questions
How is the fraction simplified?
The numerator and denominator are both divided by their greatest common divisor (GCD), producing the smallest equivalent whole-number fraction.
What does the mixed number mean?
If the simplified numerator is larger than the denominator, the result is also shown as a whole number plus a remaining fraction — for example, 7/2 is shown as 3 with a remainder of 1/2.