589 US customary teaspoons in imperial cups

Conversion

589 US customary teaspoons is equivalent to 10.2176061405515 imperial cups.^[1]

Conversion formula
How to convert 589 US customary teaspoons to imperial cups?

We know (by definition) that: $1 usteaspoon \approx 0.0173473788464373 brcup$

We can set up a proportion to solve for the number of imperial cups.

\frac{1 usteaspoon}{589 usteaspoon} \approx \frac{0.0173473788464373 brcup}{x brcup}

Now, we cross multiply to solve for our unknown $x$ :

x brcup \approx \frac{589 usteaspoon}{1 usteaspoon} * 0.0173473788464373 brcup \to x brcup \approx 10.217606140551569 brcup

Conclusion: $589 usteaspoon \approx 10.217606140551569 brcup$

589 US customary teaspoons is equivalent to 10.2176061405515 imperial cups

Conversion in the opposite direction

The inverse of the conversion factor is that 1 imperial cup is equal to 0.0978702825538761 times 589 US customary teaspoons.

It can also be expressed as: 589 US customary teaspoons is equal to $\frac{1}{0.0978702825538761}$ imperial cups.

Approximation

An approximate numerical result would be: five hundred and eighty-nine US customary teaspoons is about ten point two two imperial cups, or alternatively, a imperial cup is about zero point one zero times five hundred and eighty-nine US customary teaspoons.

Units involved

This is how the units in this conversion are defined:

Us Customary Teaspoons

"In the United States one teaspoon as a unit of culinary measure is 1⁄3 tablespoon, that is, 4.92892159375 ml; it is exactly 1 1⁄3 US fluid drams, 1⁄6 US fl oz, 1⁄48 US cup, and 1⁄768 US liquid gallon and 77⁄256 or 0.30078125 cubic inches. For nutritional labeling on food packages in the US, the teaspoon is defined as precisely 5 ml."

Wikipedia page of US customary teaspoons

Imperial Cups

"The cup is a unit of measurement for volume, used in cooking to measure liquids (fluid measurement) and bulk foods such as granulated sugar (dry measurement). The imperial cup is half an imperial pint. It is no longer in common use, but many recipe books still include it."

Wikipedia page of imperial cups

Footnotes

[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).

Results may contain small errors due to the use of floating point arithmetic.

Conversion

Conversion formula How to convert 589 US customary teaspoons to imperial cups?

Conversion in the opposite direction

Approximation

Conversion formula
How to convert 589 US customary teaspoons to imperial cups?