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 1689 teaspoons into cups we have to multiply 1689 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

1689 tsp → V_(cup)

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

V_(cup) = 1689 tsp × 0.020833333333319 cup

V_(cup) = 35.187499999976 cup

The final result is:

1689 tsp → 35.187499999976 cup

We conclude that 1689 teaspoons is equivalent to 35.187499999976 cups:

1689 teaspoons = 35.187499999976 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.028419182948509 × 1689 teaspoons.

Another way is saying that 1689 teaspoons is equal to 1 ÷ 0.028419182948509 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 eighty-nine teaspoons is approximately thirty-five point one eight seven cups:

1689 tsp ≅ 35.187 cup

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