Fraction Calculator
Free online fraction calculator to add, subtract, multiply, divide, and simplify fractions. Perform fraction operations with step-by-step calculation and explanation.
How to Calculate Fractions?
Fractions represent parts of a whole number. They consist of a numerator (top number) and a denominator (bottom number). Understanding fraction operations is essential for many mathematical calculations.
Adding Fractions:
- Find a common denominator for both fractions
- Convert both fractions to have the same denominator
- Add the numerators and keep the common denominator
3/4 + 1/2 = (3×2 + 1×4)/(4×2) = 10/8 = 5/4
Multiplying Fractions:
- Multiply the numerators together
- Multiply the denominators together
5/6 × 2/3 = (5×2)/(6×3) = 10/18 = 5/9
Simplifying Fractions:
- Find the greatest common divisor (GCD) of numerator and denominator
- Divide both numerator and denominator by the GCD
12/18 = (12÷6)/(18÷6) = 2/3
Common fraction values
Fraction | Decimal | Percentage |
---|---|---|
1/2 | 0.5 | 50% |
1/3 | 0.333... | 33.33% |
1/4 | 0.25 | 25% |
1/5 | 0.2 | 20% |
2/3 | 0.666... | 66.67% |
3/4 | 0.75 | 75% |
4/5 | 0.8 | 80% |