Description
Calculate actualFraction=(firstAmount*firstFraction+secondAmount*secondFraction)/(firstAmount+secondAmount) and residual=actualFraction-targetFraction.
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 actualFraction=(firstAmount*firstFraction+secondAmount*secondFraction)/(firstAmount+secondAmount) and residual=actualFraction-targetFraction.
When to use this tool
Use Mixture Target Share Residual 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 firstAmount, secondAmount, firstFraction, secondFraction, targetFraction. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read actualFraction, residual. Use the output convention below.
Calculate actualFraction=(firstAmount*firstFraction+secondAmount*secondFraction)/(firstAmount+secondAmount) and residual=actualFraction-targetFraction. Require nonnegative amounts with positive total and all fractions bounded.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstAmount | First Amount | Required. Finite number; minimum 0. |
| secondAmount | Second Amount | Required. Finite number; minimum 0. |
| firstFraction | First Fraction | Required. Finite number; minimum 0; maximum 1. |
| secondFraction | Second Fraction | Required. Finite number; minimum 0; maximum 1. |
| targetFraction | Target Fraction | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| actualFraction | Actual Fraction | Required. Finite number. |
| residual | Signed discrepancy under the formula stated above. | Required. Finite number. |
{
"input": {
"firstAmount": 2,
"secondAmount": 3,
"firstFraction": 0.25,
"secondFraction": 0.5,
"targetFraction": 0.4
},
"output": {
"actualFraction": 0.4,
"residual": 0
}
}Limitations and assumptions
- Quantities must share a compatible additive basis. This checks a supplied mixture balance without solving component amounts, modeling volume contraction, verifying composition, or establishing material safety.
- 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
- Diluted Mixture Displacement Mass Balance
Remove a homogeneous portion from initialMass, add addedMass at addedFraction, and return positive finalMass, soluteMass, and fraction.
- Mixture Evaporation Solute Retained Term
Calculate finalMass=initialMass-evaporated and concentration=soluteMass/finalMass.