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 1646 teaspoons into cups we have to multiply 1646 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

1646 tsp → V_(cup)

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

V_(cup) = 1646 tsp × 0.020833333333319 cup

V_(cup) = 34.291666666643 cup

The final result is:

1646 tsp → 34.291666666643 cup

We conclude that 1646 teaspoons is equivalent to 34.291666666643 cups:

1646 teaspoons = 34.291666666643 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.029161603888234 × 1646 teaspoons.

Another way is saying that 1646 teaspoons is equal to 1 ÷ 0.029161603888234 cups.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that one thousand six hundred forty-six teaspoons is approximately thirty-four point two nine two cups:

1646 tsp ≅ 34.292 cup

An alternative is also that one cup is approximately zero point zero two nine times one thousand six hundred forty-six 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