Description
Return defined when denominator is nonzero and proper when additionally abs(numerator)<abs(denominator).
A ratio compares quantities under a stated numerator and denominator. Fractions, percentage numerals, and percentage-point changes use different conventions, and changing a part can also change its whole. Unit consistency, zero denominators, rounding, and the order of adjustments determine the result.
Return defined when denominator is nonzero and proper when additionally abs(numerator)<abs(denominator).
When to use this tool
Use Ratio To Fraction Denominator Domain when you need this specific ratio, allocation, transformation, interval, or adjustment-order calculation with an explicit base.
How to use the tool and how it works
- Enter numerator, denominator. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read defined, proper. Inspect defined, proper before interpreting the associated values.
Return defined when denominator is nonzero and proper when additionally abs(numerator)<abs(denominator).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| numerator | Numerator | Required. Finite number. |
| denominator | Denominator | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| defined | Whether the stated denominator or quantity is defined; inspect before interpreting a placeholder. | Required. Boolean. |
| proper | Proper | Required. Boolean. |
{
"input": {
"numerator": 2,
"denominator": 3
},
"output": {
"defined": true,
"proper": true
}
}Limitations and assumptions
- This classifies domain and magnitude without returning a fraction value or reducing integer terms. Signed inputs are permitted and zero denominator produces false flags rather than a division error.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Check numerator, denominator, units, and adjustment order before comparing results. Use a complete allocation or physical mixture model when a single arithmetic term leaves relevant constraints unspecified.
References
Similar or alternative tools
- Proportion Interval Common Denominator Bound
Divide ordered numerator bounds by a nonzero common denominator, reversing their assignment to lower and upper when the denominator is negative.
- Proportional Quantity Signed Denominator Policy
Return ratio=numerator/denominator, rejecting zero denominator and also negative denominator unless allowNegative.