What is Fraction Calculator?
A fraction calculator simplifies fraction arithmetic by identifying lowest common multiples for addition/subtraction and simplifying cross-products.
How to Use This Calculator
- Enter numerator and denominator for Fraction 1.
- Select operation (+, -, ×, ÷).
- Enter numerator and denominator for Fraction 2.
- View simplified proper or improper fraction alongside exact decimal conversion.
The Mathematical Formula & Variables
Addition: (a/b) + (c/d) = (a*d + b*c) / (b*d); Multiplication: (a*c) / (b*d)
Variables Definition
| Symbol / Variable | Name | Description |
|---|---|---|
LCD |
Lowest Common Denominator | LCM of both denominators. |
Step-by-Step Worked Example
Scenario: Add 2/3 and 1/4.
- Find LCD of 3 and 4 = 12.
- Convert fractions: 2/3 = 8/12; 1/4 = 3/12.
- Add numerators: 8 + 3 = 11.
- Result = 11/12 (0.9167).
Result: Result = 11/12
Frequently Asked Questions
How do you divide two fractions?
To divide fractions, multiply the first fraction by the reciprocal (flipped upside down) of the second fraction: (a/b) ÷ (c/d) = (a/b) * (d/c).