Mass per volume density.
Carats per Tablespoon to Grains per Teaspoon Converter — ct/tbsp to gr/tsp
Convert Carat per Tablespoon (ct/tbsp) to Grain per Teaspoon (gr/tsp) using the exact conversion factor (1 carat per tablespoon = 1.02882389 grain per teaspoon). See the formula, worked examples, and conversion table.
Carats per Tablespoon to Grains per Teaspoon 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 13.52560908 / 13.14667088.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Tablespoon to Grains per Teaspoon
Carat per Tablespoon and Grain per Teaspoon 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
grains per teaspoon = carats per tablespoon × 1.0288238902
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per tablespoon equals 13.5256090807 base units, and 1 grain per teaspoon equals 13.1466708828 base units, so dividing one by the other gives the direct carat per tablespoon-to-grain per teaspoon factor of 1.0288238902.
Simple example
1 ct/tbsp × 1.02882389 = 1.02882389 gr/tsp
1 carat per tablespoon = 1.02882389 grains per teaspoon.
Real-world example
1,000 ct/tbsp × 1.02882389 = 1,028.82389 gr/tsp
1,000 carats per tablespoon = 1,028.82389 grains per teaspoon.
Conversion table
| Carat per Tablespoon (ct/tbsp) | Grain per Teaspoon (gr/tsp) |
|---|---|
| 0.1 ct/tbsp | 0.102882389 gr/tsp |
| 1 ct/tbsp | 1.02882389 gr/tsp |
| 10 ct/tbsp | 10.2882389 gr/tsp |
| 100 ct/tbsp | 102.882389 gr/tsp |
| 1,000 ct/tbsp | 1,028.82389 gr/tsp |
| 10,000 ct/tbsp | 10,288.2389 gr/tsp |
Reverse conversion: Grain per Teaspoon to Carat per Tablespoon
1.02882389 gr/tsp × 0.97198365 = 0.9999999998 ct/tbsp
1.02882389 grains per teaspoon = 0.9999999998 carats per tablespoon.
carats per tablespoon = grains per teaspoon × 0.97198365
For a page dedicated to this direction, see Grain per Teaspoon to Carat per Tablespoon.
Understanding the Carat per Tablespoon (ct/tbsp)
Mass per volume density.
Understanding the Grain per Teaspoon (gr/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per teaspoon are in 1 carat per tablespoon?
1 carat per tablespoon equals 1.02882389 grains per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per tablespoon to grain per teaspoon?
Multiply the carat per tablespoon value by 1.02882389. The converter above does this instantly to whatever precision you set.
How do I convert grain per teaspoon back to carat per tablespoon?
Use the reverse factor: 1 grain per teaspoon equals 0.97198365 carats per tablespoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per tablespoon?
Carat per Tablespoon (ct/tbsp) is a unit of density.
What is a grain per teaspoon?
Grain per Teaspoon (gr/tsp) is a unit of density.
Is the carat per tablespoon to grain per teaspoon conversion exact?
Yes. Both carat per tablespoon and grain per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 1.02882389 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.