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 513.5 teaspoons into cups we have to multiply 513.5 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

513.5 tsp → V_(cup)

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

V_(cup) = 513.5 tsp × 0.020833333333319 cup

V_(cup) = 10.697916666659 cup

The final result is:

513.5 tsp → 10.697916666659 cup

We conclude that 513.5 teaspoons is equivalent to 10.697916666659 cups:

513.5 teaspoons = 10.697916666659 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.093476144109119 × 513.5 teaspoons.

Another way is saying that 513.5 teaspoons is equal to 1 ÷ 0.093476144109119 cups.

Approximate result

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

513.5 tsp ≅ 10.698 cup

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