Fraction Calculator

Inputs

Recent calculations

No recent calculations on this device.

How it works

Add, subtract, multiply, or divide two fractions and see the simplified result.

Enter two fractions and choose an operation. The calculator performs the arithmetic, reduces the result to lowest terms, and shows it as a mixed number and a decimal.

Formula

a/b + c/d = (ad + cb) ÷ (bd), with subtraction, multiplication, and division following the standard fraction identities; the result is reduced by the greatest common divisor.

a/b, c/d
The two input fractions (rational)

Examples

  • 1/2 + 1/3Numerator 1 · denominator 2 · add · numerator 1 · denominator 35/6 ≈ 0.833333

Frequently asked questions

What if the result is improper?

The calculator reports it as a mixed number (whole part plus a proper fraction) and as a decimal.

Are negative fractions supported?

Yes. The sign is normalized so the denominator is positive and the sign is carried on the numerator and whole part.

How to read the result

The decimal and mixed-number forms describe the same value; the reduced fraction is the exact representation.

Limitations

Integer-only numerators and denominators. Extremely large values may exceed the safe-integer range in intermediate products.

Source: Standard fraction arithmetic with greatest-common-divisor reduction.

Methodology & data

Method
Deterministic formula

How Kalkuleyt calculators work