Mass per volume density.
Grains per Cup to Carats per Tablespoon Converter — gr/cup to ct/tbsp
Convert Grain per Cup (gr/cup) to Carat per Tablespoon (ct/tbsp) using the exact conversion factor (1 grain per cup = 0.0202496594 carat per tablespoon). See the formula, worked examples, and conversion table.
Grains per Cup to Carats per Tablespoon converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 0.2738889767 / 13.52560908.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Carats per Tablespoon
Grain per Cup and Carat per Tablespoon both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
carats per tablespoon = grains per cup × 0.020249659375
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 carat per tablespoon equals 13.5256090807 base units, so dividing one by the other gives the direct grain per cup-to-carat per tablespoon factor of 0.020249659375.
Simple example
1 gr/cup × 0.02024965937 = 0.0202496594 ct/tbsp
1 grain per cup = 0.0202496594 carats per tablespoon.
Real-world example
1,000 gr/cup × 0.02024965937 = 20.24965937 ct/tbsp
1,000 grains per cup = 20.24965937 carats per tablespoon.
Conversion table
| Grain per Cup (gr/cup) | Carat per Tablespoon (ct/tbsp) |
|---|---|
| 0.1 gr/cup | 0.0020249659 ct/tbsp |
| 1 gr/cup | 0.0202496594 ct/tbsp |
| 10 gr/cup | 0.2024965937 ct/tbsp |
| 100 gr/cup | 2.024965937 ct/tbsp |
| 1,000 gr/cup | 20.24965937 ct/tbsp |
| 10,000 gr/cup | 202.4965937 ct/tbsp |
Reverse conversion: Carat per Tablespoon to Grain per Cup
0.0202496594 ct/tbsp × 49.38354673 = 1.000000001 gr/cup
0.0202496594 carats per tablespoon = 1.000000001 grains per cup.
grains per cup = carats per tablespoon × 49.3835467294
For a page dedicated to this direction, see Carat per Tablespoon to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Carat per Tablespoon (ct/tbsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per tablespoon are in 1 grain per cup?
1 grain per cup equals 0.0202496594 carats per tablespoon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to carat per tablespoon?
Multiply the grain per cup value by 0.02024965937. The converter above does this instantly to whatever precision you set.
How do I convert carat per tablespoon back to grain per cup?
Use the reverse factor: 1 carat per tablespoon equals 49.38354673 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a carat per tablespoon?
Carat per Tablespoon (ct/tbsp) is a unit of density.
Is the grain per cup to carat per tablespoon conversion exact?
Yes. Both grain per cup and carat per tablespoon are defined by fixed standards rather than physical artifacts, so the factor of 0.02024965937 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.