Conversion formula

The conversion factor from cups to fluid ounces is 8, which means that 1 cup is equal to 8 fluid ounces:

1 cup = 8 fl oz

To convert 509.8 cups into fluid ounces we have to multiply 509.8 by the conversion factor in order to get the volume amount from cups to fluid ounces. We can also form a simple proportion to calculate the result:

1 cup → 8 fl oz

509.8 cup → V_{(fl oz)}

Solve the above proportion to obtain the volume V in fluid ounces:

V_{(fl oz)} = 509.8 cup × 8 fl oz

V_{(fl oz)} = 4078.4 fl oz

The final result is:

509.8 cup → 4078.4 fl oz

We conclude that 509.8 cups is equivalent to 4078.4 fluid ounces:

509.8 cups = 4078.4 fluid ounces

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 fluid ounce is equal to 0.00024519419380149 × 509.8 cups.

Another way is saying that 509.8 cups is equal to 1 ÷ 0.00024519419380149 fluid ounces.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that five hundred nine point eight cups is approximately four thousand seventy-eight point four fluid ounces:

509.8 cup ≅ 4078.4 fl oz

An alternative is also that one fluid ounce is approximately zero times five hundred nine point eight cups.

Conversion table

cups to fluid ounces chart

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