Teaspoon (US) to Cup (UK) Converter
Volume · unit-converter
Convert Teaspoon (US) to Cup (UK) with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations use liter-based factors (US fluid measures, imperial UK units, SI cubic meters).
Calculator
From: Teaspoon (US) (tsp)
To: Cup (UK) (ukcup)
About Teaspoon (US)
The US teaspoon is 1/6 US fluid ounce (about 4.9289 ml). US recipes use teaspoons for spices and small liquid amounts.
About Cup (UK)
The UK metric cup is often taken as 250 ml in modern recipes, though traditional imperial cups differ; this converter uses the liter-based UK cup factor from the shared table.
How to convert teaspoons (us) to cups (uk)
1 teaspoon (us) is equal to 0.01734737884644 cup (uk):
1 tsp = (0.00492892159375 L ÷ 0.284130625 L) ukcup = 0.01734737884644 ukcup
Each teaspoon (us) is defined as 0.00492892159375 L and each cup (uk) as 0.284130625 L, so one tsp equals 0.00492892159375 ÷ 0.284130625 ukcup = 0.01734737884644 ukcup.
Let V(tsp) be the numeric value of the same volume measured in Teaspoon (US) (tsp), and V(ukcup) the value in Cup (UK) (ukcup). Then:
V(ukcup) = V(tsp) × (0.00492892159375 / 0.284130625)
Equivalently, divide by how many tsp fit into one ukcup (liters per ukcup divided by liters per tsp):
V(ukcup) = V(tsp) ÷ 57.64559642423304
Or: cup (uk) = teaspoon (us) ÷ 57.64559642423304
Examples
Example #1: Convert 20 tsp to cup (uk)
20 tsp = 20 tsp × (0.00492892159375/0.284130625) ukcup = 0.3469475769 ukcup
20 tsp = 20 tsp ÷ 57.64559642423304 = 0.3469475769 ukcup
Example #2: Convert 50 tsp to cup (uk)
50 tsp = 50 tsp × (0.00492892159375/0.284130625) ukcup = 0.8673689423 ukcup
50 tsp = 50 tsp ÷ 57.64559642423304 = 0.8673689423 ukcup
Summary
To convert Teaspoon (US) to Cup (UK), multiply the value in tsp by the ratio of liters per tsp divided by liters per ukcup. Equivalently: value_ukcup = value_tsp × (0.00492892159375 / 0.284130625). Numerically, 1 tsp equals 0.017347378846437268 ukcup.
Relationship context
You are converting between US customary fluid / volume (Teaspoons (US)) and UK imperial fluid / volume (Cups (UK)). US and UK fluid measures differ (gallons, ounces, tablespoons); metric liters and cubic meters align with SI. The numeric factor used here is 1.734738e-2.
Conversion tables
| Teaspoon (US) (tsp) | Cup (UK) (ukcup) |
|---|---|
| 0.1 | 0.0017347379 |
| 1 | 0.0173473788 |
| 2 | 0.0346947577 |
| 3 | 0.0520421365 |
| 4 | 0.0693895154 |
| 5 | 0.0867368942 |
| 6 | 0.1040842731 |
| 7 | 0.1214316519 |
| 8 | 0.1387790308 |
| 9 | 0.1561264096 |
| Teaspoon (US) (tsp) | Cup (UK) (ukcup) |
|---|---|
| 10 | 0.1734737885 |
| 20 | 0.3469475769 |
| 30 | 0.5204213654 |
| 40 | 0.6938951539 |
| 50 | 0.8673689423 |
| 60 | 1.0408427308 |
| 70 | 1.2143165193 |
| 80 | 1.3877903077 |
| 90 | 1.5612640962 |
| 100 | 1.7347378846 |