Fraction Calculator
Add, subtract, multiply and divide fractions with common-denominator and reduce steps
运算方式
输入两个分数
/
/
支持负数输入。分母不能为 0。输入后自动计算，无需点击按钮。
About this tool
The fraction calculator handles the four basic operations and shows the working:
- Four operations: add, subtract, multiply and divide
- Steps shown: addition and subtraction show the common denominator, multiplication and division show the intermediate products, and the final reduction is displayed
- Lowest terms: every result is reduced automatically
- Decimal view: the same result is also given as a decimal and a percentage
Fraction rules
- Addition: a/b + c/d = (ad+bc)/(bd), then reduce
- Subtraction: a/b - c/d = (ad-bc)/(bd), then reduce
- Multiplication: a/b times c/d = (ac)/(bd), then reduce
- Division: a/b divided by c/d = (ad)/(bc), then reduce
When to use it
- Help with school fraction homework
- Check a hand calculation in seconds
- Exact fraction arithmetic in engineering work
Reference table
| Operation | Formula |
|---|---|
| Addition | a/b + c/d = (ad+bc)/(bd) |
| Subtraction | a/b - c/d = (ad-bc)/(bd) |
| Multiplication | a/b times c/d = (ac)/(bd) |
| Division | a/b divided by c/d = (ad)/(bc) |