Conversion formula

The conversion factor from teaspoons to cups is 0.020833333333319, which means that 1 teaspoon is equal to 0.020833333333319 cups:

1 tsp = 0.020833333333319 cup

To convert 398 teaspoons into cups we have to multiply 398 by the conversion factor in order to get the volume amount from teaspoons to cups. We can also form a simple proportion to calculate the result:

1 tsp → 0.020833333333319 cup

398 tsp → V_(cup)

Solve the above proportion to obtain the volume V in cups:

V_(cup) = 398 tsp × 0.020833333333319 cup

V_(cup) = 8.2916666666611 cup

The final result is:

398 tsp → 8.2916666666611 cup

We conclude that 398 teaspoons is equivalent to 8.2916666666611 cups:

398 teaspoons = 8.2916666666611 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.12060301507546 × 398 teaspoons.

Another way is saying that 398 teaspoons is equal to 1 ÷ 0.12060301507546 cups.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that three hundred ninety-eight teaspoons is approximately eight point two nine two cups:

398 tsp ≅ 8.292 cup

An alternative is also that one cup is approximately zero point one two one times three hundred ninety-eight teaspoons.

Conversion table

teaspoons to cups chart

For quick reference purposes, below is the conversion table you can use to convert from teaspoons to cups