Fraction Calculator
Add, subtract, multiply, and divide fractions. Results shown as simplified fractions and decimals with step-by-step working.
How to Use the Fraction Calculator
Enter the numerator and denominator for each fraction, select an operation (add, subtract, multiply, or divide), then read off the result. The calculator automatically simplifies the answer to its lowest terms.
The Extended Calculator below adds visual fraction bars, a simplify tool, decimal-fraction conversion, and a fraction comparison tool. The Professional Calculator handles mixed numbers, continued fractions, and Egyptian fraction decompositions.
Fraction Operation Formulas
Addition: a/b + c/d = (a×d + c×b) / (b×d)
Subtraction: a/b − c/d = (a×d − c×b) / (b×d)
Multiplication: a/b × c/d = (a×c) / (b×d)
Division: a/b ÷ c/d = a/b × d/c = (a×d) / (b×c)
Simplification: Divide numerator and denominator by their GCD.
Worked Example
Add 2/3 + 3/4:
= (2×4 + 3×3) / (3×4) = (8 + 9) / 12 = 17/12
GCD(17, 12) = 1 → already simplified → 17/12 (or 1.4167)
Divide 3/5 ÷ 2/7:
= 3/5 × 7/2 = 21/10 → simplified = 21/10 (or 2.1)
| Step | Value |
|---|---|
| Mixed 1 as improper | 11/4 |
| Mixed 2 as improper | 4/3 |
| After operation | 49/12 |
| As mixed number | 4 1/12 |