Fractions Operations Calculator
Add, subtract, multiply, and divide fractions — with automatically simplified results, mixed numbers, decimal equivalents, and step-by-step working.
Everyday Uses
Recipe adjustments
Add 2/3 cup and 3/4 cup, or halve 1 1/3 — fraction math the kitchen actually needs.
Woodworking measurements
Add and subtract imperial fractions (7/16 + 5/8) without conversion errors.
Homework with steps
See the common denominator and simplification steps, not just the answer.
Sewing and fabric
Combine fractional yard measurements accurately when planning cuts.
Frequently Asked Questions
How do you add or subtract fractions?
Bring both fractions to a common denominator, then add or subtract the numerators: a/b ± c/d = (a×d ± c×b) / (b×d), then simplify. Example: 1/2 + 1/3 = (1×3 + 1×2) / (2×3) = 5/6. Using the least common denominator keeps numbers smaller, but any common denominator works — the final simplification gives the same answer.
How do you multiply and divide fractions?
Multiplying is direct: a/b × c/d = (a×c)/(b×d) — multiply numerators together and denominators together. Dividing means multiplying by the reciprocal (invert and multiply): a/b ÷ c/d = a/b × d/c = (a×d)/(b×c). Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6.
How do you simplify a fraction?
Divide numerator and denominator by their greatest common divisor (GCD). For 10/12, the GCD of 10 and 12 is 2, so 10/12 = 5/6. A fraction is fully simplified (in lowest terms) when the GCD is 1. This calculator simplifies every result automatically and shows the pre-simplified value.
What is a mixed number versus an improper fraction?
An improper fraction has a numerator larger than its denominator (7/4); a mixed number combines a whole number and a proper fraction (1 3/4). Both express the same value. To convert, divide: 7 ÷ 4 = 1 remainder 3 → 1 3/4. This calculator shows both forms plus the decimal.