How to Use the Adding Fractions Calculator

Two fractions, numerator and denominator each, add directly — the result comes back already simplified rather than left as a raw sum.

1/2 and 1/3 describe different-sized pieces, so adding their numerators directly would give a meaningless "2/5." The denominator has to match first — it defines what size piece is even being counted.

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

Cross-multiplying gets both fractions onto a shared denominator in one step: 1/2 + 1/3 becomes (3 + 2)/6, or 5/6. This Adding Fractions Calculator does that and simplifies automatically — 4/6 reduces to 2/3 by dividing both numbers by their greatest common factor.