Fraction Calculator – Simplify, Add, Subtract, Multiply & Divide

Fraction Calculator – Add, Subtract, Multiply, Divide & Simplify a/b

Pick a mode. The tool finds the GCD or LCD, then writes out every step as a formula.

The calculator above simplifies fractions with the greatest common divisor and performs the four basic operations, showing the common denominator and each reduction.

Formulas used

a/b ± c/d = (ad ± bc) / bd
a/b · c/d = ac/bd, a/b ÷ c/d = ad/bc
  • Divide the numerator and denominator by their GCD to get the simplest form.
  • Use the least common multiple of the denominators to keep numbers small.
  • A denominator can never be 0.

Worked example

Add 1/4 and 1/6. The least common denominator is 12:

1/4 + 1/6 = 3/12 + 2/12 = 5/12

Enter the same values in the calculator above to see every step of the solution.

How to use the calculator

  1. Enter the numerators and denominators, then choose an operation.
  2. Press the calculate button. The result appears instantly.
  3. Read the step-by-step solution, rendered with KaTeX, to check your own work.