Mass per volume density.
Grains per Cup to Decigrams per Teaspoon Converter — gr/cup to dg/tsp
Convert Grain per Cup (gr/cup) to Decigram per Teaspoon (dg/tsp) using the exact conversion factor (1 grain per cup = 0.0134997729 decigram per teaspoon). See the formula, worked examples, and conversion table.
Grains per Cup to Decigrams 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 0.2738889767 / 20.28841362.
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 Decigrams per Teaspoon
Grain per Cup and Decigram 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
decigrams per teaspoon = grains per cup × 0.0134997729167
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 decigram per teaspoon equals 20.2884136211 base units, so dividing one by the other gives the direct grain per cup-to-decigram per teaspoon factor of 0.0134997729167.
Simple example
1 gr/cup × 0.01349977292 = 0.0134997729 dg/tsp
1 grain per cup = 0.0134997729 decigrams per teaspoon.
Real-world example
1,000 gr/cup × 0.01349977292 = 13.49977292 dg/tsp
1,000 grains per cup = 13.49977292 decigrams per teaspoon.
Conversion table
| Grain per Cup (gr/cup) | Decigram per Teaspoon (dg/tsp) |
|---|---|
| 0.1 gr/cup | 0.0013499773 dg/tsp |
| 1 gr/cup | 0.0134997729 dg/tsp |
| 10 gr/cup | 0.1349977292 dg/tsp |
| 100 gr/cup | 1.349977292 dg/tsp |
| 1,000 gr/cup | 13.49977292 dg/tsp |
| 10,000 gr/cup | 134.9977292 dg/tsp |
Reverse conversion: Decigram per Teaspoon to Grain per Cup
0.0134997729 dg/tsp × 74.07532009 = 0.9999999988 gr/cup
0.0134997729 decigrams per teaspoon = 0.9999999988 grains per cup.
grains per cup = decigrams per teaspoon × 74.0753200941
For a page dedicated to this direction, see Decigram per Teaspoon to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Decigram per Teaspoon (dg/tsp)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many decigrams per teaspoon are in 1 grain per cup?
1 grain per cup equals 0.0134997729 decigrams per teaspoon, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to decigram per teaspoon?
Multiply the grain per cup value by 0.01349977292. The converter above does this instantly to whatever precision you set.
How do I convert decigram per teaspoon back to grain per cup?
Use the reverse factor: 1 decigram per teaspoon equals 74.07532009 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 decigram per teaspoon?
Decigram per Teaspoon (dg/tsp) is a unit of density.
Is the grain per cup to decigram per teaspoon conversion exact?
Yes. Both grain per cup and decigram per teaspoon are defined by fixed standards rather than physical artifacts, so the factor of 0.01349977292 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.