509 imperial cups in US gallons

Conversion

509 imperial cups is equivalent to 38.2052195051232 US gallons.^[1]

Conversion formula
How to convert 509 imperial cups to US gallons?

We know (by definition) that: $1 brcup \approx 0.0750593703440534 usgallon$

We can set up a proportion to solve for the number of US gallons.

\frac{1 brcup}{509 brcup} \approx \frac{0.0750593703440534 usgallon}{x usgallon}

Now, we cross multiply to solve for our unknown $x$ :

x usgallon \approx \frac{509 brcup}{1 brcup} * 0.0750593703440534 usgallon \to x usgallon \approx 38.20521950512318 usgallon

Conclusion: $509 brcup \approx 38.20521950512318 usgallon$

509 imperial cups is equivalent to 38.2052195051232 US gallons

Conversion in the opposite direction

The inverse of the conversion factor is that 1 US gallon is equal to 0.0261744340944279 times 509 imperial cups.

It can also be expressed as: 509 imperial cups is equal to $\frac{1}{0.0261744340944279}$ US gallons.

Approximation

An approximate numerical result would be: five hundred and nine imperial cups is about thirty-eight point two one US gallons, or alternatively, a US gallon is about zero point zero three times five hundred and nine imperial cups.

Units involved

This is how the units in this conversion are defined:

Imperial Cups

"The cup is a unit of measurement for volume, used in cooking to measure liquids (fluid measurement) and bulk foods such as granulated sugar (dry measurement). The imperial cup is half an imperial pint. It is no longer in common use, but many recipe books still include it."

Wikipedia page of imperial cups

Us Gallons

"The US gallon is legally defined as 231 cubic inches, which is exactly 3.785411784 liters.[2][3] A US liquid gallon of water weighs about 8.34 pounds or 3.78 kilograms at 62 °F (17 °C), making it about 16.6% lighter than the imperial gallon. There are four quarts in a gallon, two pints in a quart and 16 US fluid ounces in a US pint, which makes the US fluid ounce equal to 1⁄128 of a US gallon."

Wikipedia page of US gallons

Footnotes

[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).

Results may contain small errors due to the use of floating point arithmetic.

Conversion

Conversion formula How to convert 509 imperial cups to US gallons?

Conversion in the opposite direction

Approximation

Conversion formula
How to convert 509 imperial cups to US gallons?