Fraction Calculator
Add, subtract, multiply and divide fractions. Free online fraction calculator with step-by-step solution.
How to Use
- Enter the numerator and denominator of the first fraction.
- Select the operation (Add, Subtract, Multiply, or Divide).
- Enter the second fraction and click Calculate to get the simplified result.
Formula
Add: a/b + c/d = (ad + bc) / bd
Subtract: a/b − c/d = (ad − bc) / bd
Multiply: a/b × c/d = ac / bd
Divide: a/b ÷ c/d = ad / bc
Simplify using GCD (Greatest Common Divisor)
Example Calculation
Example: 1/2 + 1/3
| Step | Value |
|---|---|
| Common denominator | 2 × 3 = 6 |
| 1/2 = 3/6 | 3/6 |
| 1/3 = 2/6 | 2/6 |
| 3/6 + 2/6 | 5/6 |
| Result (simplified) | 5/6 = 0.833... |
Frequently Asked Questions
Find the LCM (Lowest Common Multiple) of the denominators. Convert both fractions to have this common denominator, then add the numerators.
Multiply numerators together and denominators together: (a/b) × (c/d) = (a×c) / (b×d). Then simplify by dividing by the GCD.
Flip the second fraction (find its reciprocal) and then multiply: (a/b) ÷ (c/d) = (a/b) × (d/c) = ad/bc.
A mixed number combines a whole number and a proper fraction, e.g., 1½ (one and a half). Convert: 3/2 = 1½ since 3÷2 = 1 remainder 1.
GCD (Greatest Common Divisor) is the largest number that divides both numerator and denominator evenly. Used to simplify fractions: 6/8 ÷ GCD(6,8)=2 = 3/4.