Add, subtract, multiply, divide

Fraction Calculator

Enter two fractions, choose an operation, and see the simplified result with the exact steps.

Calculate fractions

Use whole-number numerators and denominators. The calculator simplifies the final answer.

How each operation works

Add or subtract

Use a common denominator, then combine the numerators.

a/b + c/d = (ad + bc) / bd

Multiply

Multiply top by top and bottom by bottom, then simplify.

a/b ร— c/d = ac / bd

Divide

Flip the second fraction and multiply.

a/b รท c/d = ad / bc

Real calculator examples

Two useful checks

These examples match what the calculator returns for the same inputs.

Input
1/2 + 1/3
Common denominator
6
Result
5/6
Input
3/4 - 1/2
Result
1/4

Before you enter fractions

Frequently Asked Questions

Why do addition and subtraction need a common denominator?

The parts must be the same size before you combine them. That is why 1/2 and 1/3 become 3/6 and 2/6.

Does the calculator simplify answers?

Yes. For example, 2/8 is reduced to 1/4 by dividing both numbers by their greatest common divisor.

Can I divide by a fraction?

Yes, unless the second fraction equals zero. Division uses the reciprocal of the second fraction.