Mass per volume density.
Grains per Tablespoon to Carats per Cup Converter — gr/tbsp to ct/cup
Convert Grain per Tablespoon (gr/tbsp) to Carat per Cup (ct/cup) using the exact conversion factor (1 grain per tablespoon = 5.1839128 carat per cup). See the formula, worked examples, and conversion table.
Grains per Tablespoon to Carats per Cup 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 4.382223628 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Tablespoon to Carats per Cup
Grain per Tablespoon and Carat per Cup 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 cup = grains per tablespoon × 5.1839128
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per tablespoon equals 4.38222362759 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct grain per tablespoon-to-carat per cup factor of 5.1839128.
Simple example
1 gr/tbsp × 5.1839128 = 5.1839128 ct/cup
1 grain per tablespoon = 5.1839128 carats per cup.
Real-world example
1,000 gr/tbsp × 5.1839128 = 5,183.9128 ct/cup
1,000 grains per tablespoon = 5,183.9128 carats per cup.
Conversion table
| Grain per Tablespoon (gr/tbsp) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 gr/tbsp | 0.51839128 ct/cup |
| 1 gr/tbsp | 5.1839128 ct/cup |
| 10 gr/tbsp | 51.839128 ct/cup |
| 100 gr/tbsp | 518.39128 ct/cup |
| 1,000 gr/tbsp | 5,183.9128 ct/cup |
| 10,000 gr/tbsp | 51,839.128 ct/cup |
Reverse conversion: Carat per Cup to Grain per Tablespoon
5.1839128 ct/cup × 0.1929044794 = 1 gr/tbsp
5.1839128 carats per cup = 1 grains per tablespoon.
grains per tablespoon = carats per cup × 0.192904479412
For a page dedicated to this direction, see Carat per Cup to Grain per Tablespoon.
Understanding the Grain per Tablespoon (gr/tbsp)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 grain per tablespoon?
1 grain per tablespoon equals 5.1839128 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per tablespoon to carat per cup?
Multiply the grain per tablespoon value by 5.1839128. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to grain per tablespoon?
Use the reverse factor: 1 carat per cup equals 0.1929044794 grains per tablespoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per tablespoon?
Grain per Tablespoon (gr/tbsp) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the grain per tablespoon to carat per cup conversion exact?
Yes. Both grain per tablespoon and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 5.1839128 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.