Description
Divide ordered numerator bounds by a nonzero common denominator, reversing their assignment to lower and upper when the denominator is negative.
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.
Divide ordered numerator bounds by a nonzero common denominator, reversing their assignment to lower and upper when the denominator is negative.
When to use this tool
Use Proportion Interval Common Denominator Bound 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 lowerNumerator, upperNumerator, denominator. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read lower, upper. Use the output convention below.
Divide ordered numerator bounds by a nonzero common denominator, reversing their assignment to lower and upper when the denominator is negative.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| lowerNumerator | Lower Numerator | Required. Finite number. |
| upperNumerator | Upper Numerator | Required. Finite number. |
| denominator | Denominator | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| lower | Lower | Required. Finite number. |
| upper | Upper | Required. Finite number. |
{
"input": {
"lowerNumerator": 2,
"upperNumerator": 6,
"denominator": -4
},
"output": {
"lower": -1.5,
"upper": -0.5
}
}Limitations and assumptions
- The denominator is fixed, not uncertain. This is a deterministic interval transformation without probability coverage, rounding verification, or a bounded-share requirement.
- 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
- Proportional Quantity Signed Denominator Policy
Return ratio=numerator/denominator, rejecting zero denominator and also negative denominator unless allowNegative.
- Ratio To Fraction Denominator Domain
Return defined when denominator is nonzero and proper when additionally abs(numerator)<abs(denominator).