Conversion formula

The conversion factor from cups to gallons is 0.0625, which means that 1 cup is equal to 0.0625 gallons:

1 cup = 0.0625 gal

To convert 7842 cups into gallons we have to multiply 7842 by the conversion factor in order to get the volume amount from cups to gallons. We can also form a simple proportion to calculate the result:

1 cup → 0.0625 gal

7842 cup → V_(gal)

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

V_(gal) = 7842 cup × 0.0625 gal

V_(gal) = 490.125 gal

The final result is:

7842 cup → 490.125 gal

We conclude that 7842 cups is equivalent to 490.125 gallons:

7842 cups = 490.125 gallons

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 gallon is equal to 0.0020402958428972 × 7842 cups.

Another way is saying that 7842 cups is equal to 1 ÷ 0.0020402958428972 gallons.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that seven thousand eight hundred forty-two cups is approximately four hundred ninety point one two five gallons:

7842 cup ≅ 490.125 gal

An alternative is also that one gallon is approximately zero point zero zero two times seven thousand eight hundred forty-two cups.

Conversion table

cups to gallons chart

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