Mass per volume density.
Drams per Cup to Grains per Tablespoon Converter — dr/cup to gr/tbsp
Convert Dram per Cup (dr/cup) to Grain per Tablespoon (gr/tbsp) using the exact conversion factor (1 dram per cup = 1.708984375 grain per tablespoon). See the formula, worked examples, and conversion table.
Drams per Cup to Grains 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 7.489151707 / 4.382223628.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Drams per Cup to Grains per Tablespoon
Dram per Cup and Grain 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
grains per tablespoon = drams per cup × 1.708984375
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cup equals 7.48915170731 base units, and 1 grain per tablespoon equals 4.38222362759 base units, so dividing one by the other gives the direct dram per cup-to-grain per tablespoon factor of 1.708984375.
Simple example
1 dr/cup × 1.708984375 = 1.708984375 gr/tbsp
1 dram per cup = 1.708984375 grains per tablespoon.
Real-world example
1,000 dr/cup × 1.708984375 = 1,708.984375 gr/tbsp
1,000 drams per cup = 1,708.984375 grains per tablespoon.
Conversion table
| Dram per Cup (dr/cup) | Grain per Tablespoon (gr/tbsp) |
|---|---|
| 0.1 dr/cup | 0.1708984375 gr/tbsp |
| 1 dr/cup | 1.708984375 gr/tbsp |
| 10 dr/cup | 17.08984375 gr/tbsp |
| 100 dr/cup | 170.8984375 gr/tbsp |
| 1,000 dr/cup | 1,708.984375 gr/tbsp |
| 10,000 dr/cup | 17,089.84375 gr/tbsp |
Reverse conversion: Grain per Tablespoon to Dram per Cup
1.708984375 gr/tbsp × 0.5851428571 = 1 dr/cup
1.708984375 grains per tablespoon = 1 drams per cup.
drams per cup = grains per tablespoon × 0.585142857143
For a page dedicated to this direction, see Grain per Tablespoon to Dram per Cup.
Understanding the Dram per Cup (dr/cup)
Mass per volume density.
Understanding the Grain per Tablespoon (gr/tbsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per tablespoon are in 1 dram per cup?
1 dram per cup equals 1.708984375 grains per tablespoon, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cup to grain per tablespoon?
Multiply the dram per cup value by 1.708984375. The converter above does this instantly to whatever precision you set.
How do I convert grain per tablespoon back to dram per cup?
Use the reverse factor: 1 grain per tablespoon equals 0.5851428571 drams per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cup?
Dram per Cup (dr/cup) is a unit of density.
What is a grain per tablespoon?
Grain per Tablespoon (gr/tbsp) is a unit of density.
Is the dram per cup to grain per tablespoon conversion exact?
Yes. Both dram per cup and grain per tablespoon are defined by fixed standards rather than physical artifacts, so the factor of 1.708984375 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.