Add, subtract, multiply, and divide fractions with step-by-step solutions. Automatic simplification and mixed number conversion.
To add fractions, find a common denominator, convert both fractions, add the numerators, and simplify. Example: 1/3 + 1/4 → LCD is 12 → 4/12 + 3/12 = 7/12.
If the denominators are the same, simply add the numerators: 2/5 + 1/5 = 3/5. If different, find the Least Common Denominator (LCD), which is the smallest number both denominators divide into evenly. This calculator finds the LCD and shows each step automatically.
To multiply: multiply numerators together and denominators together. To divide: multiply by the reciprocal (flip the second fraction).
Multiplication: 2/3 × 3/4 = 6/12 = 1/2. Division uses "Keep, Change, Flip": 2/3 ÷ 4/5 → keep 2/3, change ÷ to ×, flip 4/5 to 5/4 → 2/3 × 5/4 = 10/12 = 5/6. No common denominator is needed for either operation.
Divide both the numerator and denominator by their Greatest Common Divisor (GCD). Example: 18/24 → GCD is 6 → 18÷6 / 24÷6 = 3/4.
A fraction is in simplest form when the only common factor of the numerator and denominator is 1. To find the GCD, you can list factors or use the Euclidean algorithm (which this calculator uses). If the result is an improper fraction (numerator > denominator), it's also converted to a mixed number.
Note: This calculator works with integers only. For decimal-to-fraction conversion, multiply both parts by a power of 10 first (e.g., 0.75 = 75/100 = 3/4). Negative fractions are supported — enter a negative numerator.