Part of Math Calculators
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.