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 646.6 teaspoons into cups we have to multiply 646.6 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

646.6 tsp → V_(cup)

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

V_(cup) = 646.6 tsp × 0.020833333333319 cup

V_(cup) = 13.470833333324 cup

The final result is:

646.6 tsp → 13.470833333324 cup

We conclude that 646.6 teaspoons is equivalent to 13.470833333324 cups:

646.6 teaspoons = 13.470833333324 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.074234457160582 × 646.6 teaspoons.

Another way is saying that 646.6 teaspoons is equal to 1 ÷ 0.074234457160582 cups.

Approximate result

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

646.6 tsp ≅ 13.471 cup

An alternative is also that one cup is approximately zero point zero seven four times six hundred forty-six point 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