Fraction Formulas
Addition
a/b + c/d = (ad + bc) / bd
Example: 1/2 + 1/3 = (3 + 2) / 6 = 5/6
Subtraction
a/b − c/d = (ad − bc) / bd
Example: 3/4 − 1/3 = (9 − 4) / 12 = 5/12
Multiplication
a/b × c/d = (ac) / (bd)
Example: 2/3 × 3/4 = 6/12 = 1/2
Division
a/b ÷ c/d = (ad) / (bc)
Example: 1/2 ÷ 3/4 = 4/6 = 2/3
Common Fraction to Decimal Conversions
| 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% |
How to Use This Fraction Calculator
- Select operation: Add, Subtract, Multiply, or Divide.
- Enter numerator and denominator for both fractions.
- See simplified result instantly.
Frequently Asked Questions
How do you add fractions with different denominators?
Find the LCM of denominators, convert each fraction, then add numerators. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How do you multiply fractions?
Multiply numerators and denominators. Example: 2/3 × 3/4 = 6/12 = 1/2.
How do you divide fractions?
Multiply first by reciprocal of second. 1/2 ÷ 3/4 = 1/2 × 4/3 = 2/3.
What is a mixed number?
A whole number plus fraction, like 2 1/2 = 5/2 as improper fraction.
How do you simplify a fraction?
Divide numerator and denominator by their GCD. 6/8 → GCD=2 → 3/4.