Quick guide
How to use this calculator
- Enter a positive rate or ratio and its matching non-negative weight.
- Choose weights that represent the appropriate numerator-side exposure.
- Inspect the exact reciprocal sum and total weight.
Calculation method
Weight reciprocals, then invert
The result is total weight divided by the sum of each weight divided by its matching value.
Worked example
Combine unequal rate weights
Rates 2 and 4 with equal weights have weighted harmonic mean 8/3.
Hᵥ = (1+1)/(1/2+1/4) = 8/3
Supported inputs
Precision and limits
List size
Add 1–100 labelled value rows.
Decimal size
Each value may contain up to 200 digits and 100 decimal places.
Exactness
Exact rational results are never replaced by a rounded decimal; approximations are labelled.
Domain
Values must be positive. Zero weights are ignored mathematically; total weight must remain positive.
Interpretation
Correct weight selection depends on what the rate's numerator and denominator represent.