# 509 US gallons in imperial cups

## Conversion

509 US gallons is equivalent to 6781.29855961849 imperial cups.^{[1]}

## Conversion formula

How to convert 509 US gallons to imperial cups?

We know (by definition) that: $1\mathrm{usgallon}\approx 13.3227869540638\mathrm{brcup}$

We can set up a proportion to solve for the number of imperial cups.

$\frac{1\mathrm{usgallon}}{509\mathrm{usgallon}}\approx \frac{13.3227869540638\mathrm{brcup}}{x\mathrm{brcup}}$Now, we cross multiply to solve for our unknown $x$:

$x\mathrm{brcup}\approx \frac{509\mathrm{usgallon}}{1\mathrm{usgallon}}*13.3227869540638\mathrm{brcup}\to x\mathrm{brcup}\approx 6781.2985596184735\mathrm{brcup}$Conclusion: $509\mathrm{usgallon}\approx 6781.2985596184735\mathrm{brcup}$

## Conversion in the opposite direction

The inverse of the conversion factor is that **1 imperial cup is equal to 0.000147464381815429 times 509 US gallons**.

It can also be expressed as: 509 US gallons is equal to $\frac{1}{\mathrm{0.000147464381815429}}$ imperial cups.

## Approximation

An approximate numerical result would be: **five hundred and nine US gallons is about six thousand, seven hundred and eighty-one point three zero imperial cups**, or alternatively, *a imperial cup is about zero times five hundred and nine 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.