Fraction Calculator
The Fraction Calculator performs addition, subtraction, multiplication and division on fractions, simplifying the result.
Fraction Calculator
What the result means
The result is shown as a simplified fraction and its decimal equivalent.
How to use this calculator
- 1Enter the numerators and denominators.
- 2Select the operation.
- 3Press Calculate.
The formula
The calculation uses a standard, verifiable formula. Here it is in its simplest form.
Add: a/b + c/d = (ad + cb) / bd
Multiply: a/b × c/d = ac / bd
What each variable means
| Symbol | Name | Description |
|---|---|---|
| a/b | First fraction | First fraction. |
| c/d | Second fraction | Second fraction. |
Step-by-step example
Example: 1/2 + 1/3
First:1/2Second:1/3Op:Add
- 11/2 + 1/3 = (3 + 2) / 6 = 5/6
Result
5/6
What changes the result
- Fractions are simplified to lowest terms.
Edge cases to be aware of
Unusual situations handled correctly
- Denominator cannot be zero.
- Division by a fraction multiplies by its reciprocal.
Common mistakes
Avoid these errors
- Adding denominators directly instead of finding common denominator.
Assumptions
- All inputs are integers.
Limitations
- Does not handle mixed numbers directly.
Frequently asked questions
How do I add fractions?+
Find a common denominator, add the numerators, then simplify. For example, 1/2 + 1/3 = 3/6 + 2/6 = 5/6.