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 509.6 teaspoons into cups we have to multiply 509.6 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

509.6 tsp → V_(cup)

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

V_(cup) = 509.6 tsp × 0.020833333333319 cup

V_(cup) = 10.616666666659 cup

The final result is:

509.6 tsp → 10.616666666659 cup

We conclude that 509.6 teaspoons is equivalent to 10.616666666659 cups:

509.6 teaspoons = 10.616666666659 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.094191522763015 × 509.6 teaspoons.

Another way is saying that 509.6 teaspoons is equal to 1 ÷ 0.094191522763015 cups.

Approximate result

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

509.6 tsp ≅ 10.617 cup

An alternative is also that one cup is approximately zero point zero nine four times five hundred nine 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