Description
Return ratio=numerator/denominator, rejecting zero denominator and also negative denominator unless allowNegative.
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 ratio=numerator/denominator, rejecting zero denominator and also negative denominator unless allowNegative.
When to use this tool
Use Proportional Quantity Signed Denominator Policy 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, allowNegative. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read ratio. Use the output convention below.
Return ratio=numerator/denominator, rejecting zero denominator and also negative denominator unless allowNegative.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| numerator | Numerator | Required. Finite number. |
| denominator | Denominator | Required. Finite number. |
| allowNegative | Allow Negative | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| ratio | Ratio under the stated units and direction. | Required. Finite number. |
{
"input": {
"numerator": 3,
"denominator": -2,
"allowNegative": true
},
"output": {
"ratio": -1.5
}
}Limitations and assumptions
- Numerator can be signed and ratio need not be a fraction within zero through one. This is an explicit denominator-sign policy, not a substantive validity or unit-conversion check.
- 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 Cap Boundary Mass
Return uncapped=total*fraction, capped=min(uncapped,cap), and boundaryExcess=max(0,uncapped-cap).