Recipe quantities and pan scaling
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About this tool
Scale ingredient fractions by servings or round, square and rectangular pan area or volume; convert compatible units and keep baking time separate.
Common uses
- Scale a recipe while retaining exact fractions and compatible metric units.
- Compare internal pan dimensions and explicitly chosen filling depths.
How to use it
- 1.Choose servings or pan geometry; enter original and target servings, or internal dimensions and the area/volume basis.
- 2.Enter ingredient names, nonnegative amounts and units; select output units within the same family.
- 3.Calculate, inspect the exact multiplier and all 50-row pages, copy the complete recipe or request its protected CSV.
Calculated recipe and pan examples
Four servings to six
4→6 servings; flour 1 1/2 kg, milk 250 mL→L, eggs 2 items
factor=3/2; 9/4 kg (2 1/4; 2.250000000000); 3/8 l (3/8; 0.375000000000); 3/1 each (3; 3.000000000000); pi_approximation=0
The exact 3/2 multiplier gives 2 1/4 kg, 3/8 L and 3 items.
Equal-depth round pans
Round diameters 18→24 cm; area basis, equal depth; flour 200 g
factor=16/9; 3200/9 g (355 5/9; 355.555555555556); pi_approximation=0
The diameter-squared ratio is 16/9; π cancels. Area scaling assumes equal filling depth.
Different filling depths
Round diameters 18→24 cm; filling depths 4→3 cm; volume basis; flour 200 g
factor=4/3; 800/3 g (266 2/3; 266.666666666667); pi_approximation=0
Area ratio 16/9 multiplied by depth ratio 3/4 gives exact 4/3.
Round pan to square pan
Round diameter 18 cm→square side 20 cm; equal depth; flour 200 g
factor=400000000000000000/254469004940773233; 80000000000000000000/254469004940773233 g (314 96732448597204838/254469004940773233; 314.380134502509); pi_approximation=1
The ratio uses π≈3.141592653589793. Its fraction is exact for that declared approximation, not physical π.
Limits and notes
- 1–200 ingredients. Names:100 UTF-16 units; custom unit labels:24. Numbers:12 integer digits, up to6 decimal places, or fractions/mixed fractions,64 characters. Servings and dimensions:0.000001–10000; ingredient quantities:0–1000000000; factor:0.000001–1000000; each scaled quantity≤1000000000000. CSV≤262144 bytes. CSV includes every ingredient, beyond the50-row preview, with the factor, exact/mixed fractions,12-place decimals, units and π-approximation flag. UTF-8 without BOM, CRLF. Formula-leading names/unit labels get an apostrophe. Spreadsheet applications may reinterpret fraction text; inspect the raw CSV for exact strings.
- Use internal pan dimensions and planned filling depths, not the outside rim. 1 inch=2.54 cm. Round areas/volumes use π≈3.141592653589793; π cancels in a round-to-round ratio. Area scaling assumes equal depth. Volume scaling uses both supplied depths.
- Convert mg/g/kg within mass or mL/L within volume. Mass and volume cannot be interchanged without ingredient-specific density. Custom cup/spoon labels keep the same unit; no universal cup size or density is assumed.
- Decimal displays round half up to12 places. Tiny positive amounts can display zero; retain the exact fraction. A fraction involving the declared π approximation is exact for that approximation, not for physical π.
- Baking time and temperature do not scale linearly with this factor. This tool only calculates quantities and geometry; it does not determine cooking time, doneness or food safety.
Frequently asked questions
Can the tool scale baking time?
No. Time and temperature are not multiplied by the ingredient factor; inspect your recipe and actual doneness separately.
Can grams be converted to cups or milliliters?
Only mg/g/kg or mL/L are converted within their family. Count and custom labels keep their unit; no ingredient density or universal cup size is inferred.
What pan model is assumed?
Use internal dimensions. Round pans are cylinders and square/rectangular pans are straight-sided prisms. Area mode assumes equal filling depth; volume mode uses both supplied depths. Tapered pans require a separate model.