ClarityHow to use this tool
- Enter first numerator, first denominator, operation, second numerator, second denominator.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| First numerator | Numeric value. | 1 |
| First denominator | Numeric value. | 2 |
| Operation | Choose Add (+) / Subtract (−) / Multiply (×) / Divide (÷). | Add (+) |
| Second numerator | Numeric value. | 1 |
| Second denominator | Numeric value. | 3 |
Result for these sample inputs
5/6
- Decimal approximation
- 0.833333333
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
For addition or subtraction, use a common denominator: (a×d ± c×b)/(b×d). Multiply as (a×c)/(b×d). Divide as (a×d)/(b×c). Reduce numerator and denominator by their greatest common divisor.
1/2 + 1/3 = (3 + 2)/6 = 5/6. Its decimal approximation is 0.833333… .
What to keep in mind
Numerators and denominators must be whole numbers within ±1 billion. Zero denominators and division by a zero fraction are rejected. Exact integer arithmetic preserves the fraction; the decimal is approximate.
Common questions
Can a denominator be negative?
Yes. The result moves a negative sign to the numerator and uses a positive denominator.
How do I enter a mixed number?
Convert it to an improper fraction first. For example, 2½ becomes 5/2.
Methodology maintained by ClarityKit. How these tools are built and checked.