THE NUMBERS, EXPLAINED
How to use this calculator.
Anchor first hole at the smallest desired fit and add equal pitches without exceeding largest fit. Reports any upper-range remainder.
Start with your inputs
Enter smallest desired belt fit (mm), largest desired belt fit (mm), chosen hole pitch (mm). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Smallest desired belt fit (mm) | 800 |
| Largest desired belt fit (mm) | 900 |
| Chosen hole pitch (mm) | 25 |
A worked example
With the example inputs above, hole count is 5. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Hole count | 5 |
| Hole fit positions (mm) | 800, 825, 850, 875, 900 |
| Uncovered upper fit remainder (mm) | 0 |
How this is calculated
Hole count
Count complete pitch intervals plus the anchor hole.
Hole fit positions (mm)
Add successive pitch multiples to the anchor fit.
Uncovered upper fit remainder (mm)
Subtract the last achievable hole fit from the requested upper fit.
Symbols and units
- a
- Smallest desired belt fit (mm)
- b
- Largest desired belt fit (mm)
- c
- Chosen hole pitch (mm)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Anchor first hole at the smallest desired fit and add equal pitches without exceeding largest fit. Reports any upper-range remainder.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Hole count; Hole fit positions (mm); Uncovered upper fit remainder (mm). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Anchor first hole at the smallest desired fit and add equal pitches without exceeding largest fit. Reports any upper-range remainder.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Further reading
OpenStax Prealgebra 2e — arithmetic and proportions ↗
Background reading; this does not imply endorsement or independent review of SumFizz.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
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