Mass per volume density.
Carats per Tablespoon to Drams per Cup Converter — ct/tbsp to dr/cup
Convert Carat per Tablespoon (ct/tbsp) to Dram per Cup (dr/cup) using the exact conversion factor (1 carat per tablespoon = 1.806026852 dram per cup). See the formula, worked examples, and conversion table.
Carats per Tablespoon to Drams 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 13.52560908 / 7.489151707.
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 Drams per Cup
Carat per Tablespoon and Dram 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
drams per cup = carats per tablespoon × 1.80602685182
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 dram per cup equals 7.48915170731 base units, so dividing one by the other gives the direct carat per tablespoon-to-dram per cup factor of 1.80602685182.
Simple example
1 ct/tbsp × 1.806026852 = 1.806026852 dr/cup
1 carat per tablespoon = 1.806026852 drams per cup.
Real-world example
1,000 ct/tbsp × 1.806026852 = 1,806.026852 dr/cup
1,000 carats per tablespoon = 1,806.026852 drams per cup.
Conversion table
| Carat per Tablespoon (ct/tbsp) | Dram per Cup (dr/cup) |
|---|---|
| 0.1 ct/tbsp | 0.1806026852 dr/cup |
| 1 ct/tbsp | 1.806026852 dr/cup |
| 10 ct/tbsp | 18.06026852 dr/cup |
| 100 ct/tbsp | 180.6026852 dr/cup |
| 1,000 ct/tbsp | 1,806.026852 dr/cup |
| 10,000 ct/tbsp | 18,060.26852 dr/cup |
Reverse conversion: Dram per Cup to Carat per Tablespoon
1.806026852 dr/cup × 0.5537016235 = 1 ct/tbsp
1.806026852 drams per cup = 1 carats per tablespoon.
carats per tablespoon = drams per cup × 0.553701623535
For a page dedicated to this direction, see Dram per Cup to Carat per Tablespoon.
Understanding the Carat per Tablespoon (ct/tbsp)
Mass per volume density.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many drams per cup are in 1 carat per tablespoon?
1 carat per tablespoon equals 1.806026852 drams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per tablespoon to dram per cup?
Multiply the carat per tablespoon value by 1.806026852. The converter above does this instantly to whatever precision you set.
How do I convert dram per cup back to carat per tablespoon?
Use the reverse factor: 1 dram per cup equals 0.5537016235 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 dram per cup?
Dram per Cup (dr/cup) is a unit of density.
Is the carat per tablespoon to dram per cup conversion exact?
Yes. Both carat per tablespoon and dram per cup are defined by fixed standards rather than physical artifacts, so the factor of 1.806026852 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.