Conversion formula

The conversion factor from tablespoons to cups is 0.062500000000211, which means that 1 tablespoon is equal to 0.062500000000211 cups:

1 tbsp = 0.062500000000211 cup

To convert 509.5 tablespoons into cups we have to multiply 509.5 by the conversion factor in order to get the volume amount from tablespoons to cups. We can also form a simple proportion to calculate the result:

1 tbsp → 0.062500000000211 cup

509.5 tbsp → V_(cup)

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

V_(cup) = 509.5 tbsp × 0.062500000000211 cup

V_(cup) = 31.843750000108 cup

The final result is:

509.5 tbsp → 31.843750000108 cup

We conclude that 509.5 tablespoons is equivalent to 31.843750000108 cups:

509.5 tablespoons = 31.843750000108 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.031403336604408 × 509.5 tablespoons.

Another way is saying that 509.5 tablespoons is equal to 1 ÷ 0.031403336604408 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 five tablespoons is approximately thirty-one point eight four four cups:

509.5 tbsp ≅ 31.844 cup

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

Conversion table

tablespoons to cups chart

For quick reference purposes, below is the conversion table you can use to convert from tablespoons to cups