509 imperial cups in US gallons

Result

The conversion result is: 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 ≈ 0.0750593703440534 usgallon.

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

1 brcup / 509 brcup ≈ 0.0750593703440534 usgallon / x usgallon

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

x usgallon ≈ (509 brcup / 1 brcup) * 0.0750593703440534 usgallon → x usgallon ≈ 38.20521950512318 usgallon

Conclusion:

509 brcup ≈ 38.20521950512318 usgallon

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 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.

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.