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 1686 teaspoons into cups we have to multiply 1686 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

1686 tsp → V_(cup)

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

V_(cup) = 1686 tsp × 0.020833333333319 cup

V_(cup) = 35.124999999976 cup

The final result is:

1686 tsp → 35.124999999976 cup

We conclude that 1686 teaspoons is equivalent to 35.124999999976 cups:

1686 teaspoons = 35.124999999976 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.028469750889699 × 1686 teaspoons.

Another way is saying that 1686 teaspoons is equal to 1 ÷ 0.028469750889699 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-six teaspoons is approximately thirty-five point one two five cups:

1686 tsp ≅ 35.125 cup

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