Fraction Calculator
Add, subtract, multiply and divide fractions and mixed numbers with exact results in simplest form, mixed form and decimal.
Your inputs
Results
Result
13/6
- Mixed number
- 2 1/6
- Decimal
- 2.166666666667
✓Exact calculation — rounded only for display
What this calculator does
Enter fractions like 3/4, mixed numbers like 1 1/2, or decimals. Calculations use exact rational arithmetic, so no rounding errors creep in.
Formula and method
a/b + c/d = (ad + cb)/bd; a/b × c/d = ac/bd; a/b ÷ c/d = ad/bc — then divided by the GCD.
Worked example
Calculated by this tool with its default inputs:
Inputs
- First fraction: 1 1/2
- Operation: + Add
- Second fraction: 2/3
Results
- Result: 13/6
- Mixed number: 2 1/6
- Decimal: 2.166666666667
How to read the results
Results are always shown in lowest terms.
Assumptions and limitations
- Denominators cannot be zero.
Questions
Can I mix decimals and fractions?
Yes — decimals are converted exactly, e.g. 0.25 = 1/4.
Methodology and verification
- Result type
- Exact mathematical calculation (rounded only for display)
- Formula version
- 1.0
- Automated verification
- 6 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
- Editorial review
- Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.
Privacy
Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy