Description
Calculate reverseFraction=-fraction/(1+fraction) and sum=fraction+reverseFraction, requiring fraction greater than minus one.
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.
Calculate reverseFraction=-fraction/(1+fraction) and sum=fraction+reverseFraction, requiring fraction greater than minus one.
When to use this tool
Use Percentage Roundtrip Asymmetry Gap 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 fraction. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read reverseFraction, sum. Use the output convention below.
Calculate reverseFraction=-fraction/(1+fraction) and sum=fraction+reverseFraction, requiring fraction greater than minus one.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| fraction | Dimensionless fraction under the stated basis. | Required. Finite number; strictly above -1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| reverseFraction | Reverse Fraction | Required. Finite number. |
| sum | Sum | Required. Finite number. |
{
"input": {
"fraction": 0.25
},
"output": {
"reverseFraction": -0.2,
"sum": 0.04999999999999999
}
}Limitations and assumptions
- These are decimal relative changes using different starting bases. The reverse generally is not the negative of the original; no actual price, quantity, or multi-period change is verified.
- 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
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