Mass per volume density.
Milligrams per Teaspoon to Grains per Cup Converter — mg/tsp to gr/cup
Convert Milligram per Teaspoon (mg/tsp) to Grain per Cup (gr/cup) using the exact conversion factor (1 milligram per teaspoon = 0.7407532009 grain per cup). See the formula, worked examples, and conversion table.
Milligrams per Teaspoon to Grains 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 0.2028841362 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Milligrams per Teaspoon to Grains per Cup
Milligram per Teaspoon and Grain 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
grains per cup = milligrams per teaspoon × 0.740753200941
This factor comes from each unit's defined relationship to the category's base unit: 1 milligram per teaspoon equals 0.202884136211 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct milligram per teaspoon-to-grain per cup factor of 0.740753200941.
Simple example
1 mg/tsp × 0.7407532009 = 0.7407532009 gr/cup
1 milligram per teaspoon = 0.7407532009 grains per cup.
Real-world example
1,000 mg/tsp × 0.7407532009 = 740.7532009 gr/cup
1,000 milligrams per teaspoon = 740.7532009 grains per cup.
Conversion table
| Milligram per Teaspoon (mg/tsp) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 mg/tsp | 0.0740753201 gr/cup |
| 1 mg/tsp | 0.7407532009 gr/cup |
| 10 mg/tsp | 7.407532009 gr/cup |
| 100 mg/tsp | 74.07532009 gr/cup |
| 1,000 mg/tsp | 740.7532009 gr/cup |
| 10,000 mg/tsp | 7,407.532009 gr/cup |
Reverse conversion: Grain per Cup to Milligram per Teaspoon
0.7407532009 gr/cup × 1.349977292 = 0.9999999999 mg/tsp
0.7407532009 grains per cup = 0.9999999999 milligrams per teaspoon.
milligrams per teaspoon = grains per cup × 1.34997729167
For a page dedicated to this direction, see Grain per Cup to Milligram per Teaspoon.
Understanding the Milligram per Teaspoon (mg/tsp)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 milligram per teaspoon?
1 milligram per teaspoon equals 0.7407532009 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert milligram per teaspoon to grain per cup?
Multiply the milligram per teaspoon value by 0.7407532009. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to milligram per teaspoon?
Use the reverse factor: 1 grain per cup equals 1.349977292 milligrams per teaspoon. You can also use the swap control in the converter above to flip the direction instantly.
What is a milligram per teaspoon?
Milligram per Teaspoon (mg/tsp) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the milligram per teaspoon to grain per cup conversion exact?
Yes. Both milligram per teaspoon and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.7407532009 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.