Is the result simplified?

Yes. The sum is divided by the GCD of its numerator and denominator, so it is always shown in lowest terms.

Can I enter negative fractions?

Yes — a negative numerator is fine. Denominators must be non-zero integers.

Fraction Calculator

Add two fractions and simplify the sum.

01 / inputs

First numerator

integer

First denominator

integer

Second numerator

integer

Second denominator

integer

02 / result

SIMPLIFIED SUM

5/6

Result: 5/6
Decimal value: 0.83333333

Calculation trace

1/2 + 1/3 = 5/6
0.83333333
Add fractions
5/6 = 5/6
0.83333333
Simplify

How it works

The two fractions are added over a common denominator: a/b + c/d = (a·d + c·b) / (b·d). The result is then reduced to lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD).

Assumptions & limits

Numerators and denominators must be integers; denominators cannot be zero.
This tool adds the two fractions you enter and shows the sum in lowest terms.

FAQ

Is the result simplified?: Yes. The sum is divided by the GCD of its numerator and denominator, so it is always shown in lowest terms.
Can I enter negative fractions?: Yes — a negative numerator is fine. Denominators must be non-zero integers.

Related calculators

SOURCES

OpenStax, Rice University
Prealgebra 2e ↗
Fraction operations — addition, subtraction, multiplication and division of fractions, and reduction to lowest terms
Accessed 2026-08-23