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 1645 teaspoons into cups we have to multiply 1645 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

1645 tsp → V_(cup)

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

V_(cup) = 1645 tsp × 0.020833333333319 cup

V_(cup) = 34.27083333331 cup

The final result is:

1645 tsp → 34.27083333331 cup

We conclude that 1645 teaspoons is equivalent to 34.27083333331 cups:

1645 teaspoons = 34.27083333331 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.029179331307011 × 1645 teaspoons.

Another way is saying that 1645 teaspoons is equal to 1 ÷ 0.029179331307011 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-five teaspoons is approximately thirty-four point two seven one cups:

1645 tsp ≅ 34.271 cup

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