398 US customary teaspoons in imperial cups

Result

The conversion result is: 398 US customary teaspoons is equivalent to 6.90425678088203 imperial cups.[1]

Conversion formula
How to convert 398 US customary teaspoons to imperial cups?

We know (by definition) that: 1 usteaspoon ≈ 0.0173473788464373 brcup.

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

1 usteaspoon / 398 usteaspoon ≈ 0.0173473788464373 brcup / x brcup

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

x brcup ≈ (398 usteaspoon / 1 usteaspoon) * 0.0173473788464373 brcup → x brcup ≈ 6.9042567808820445 brcup

Conclusion:

398 usteaspoon ≈ 6.9042567808820445 brcup

Conversion in the opposite direction

The inverse of the conversion factor is that 1 imperial cup is equal to 0.144838181970435 times 398 US customary teaspoons.

It can also be expressed as: 398 US customary teaspoons is equal to 1 / 0.144838181970435 imperial cups.

Approximation

An approximate numerical result would be: three hundred and ninety-eight US customary teaspoons is about six point nine zero imperial cups, or alternatively, a imperial cup is about zero point one four times three hundred and ninety-eight US customary teaspoons.

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.