# 513 US quarts in imperial cups

## Conversion

513 US quarts is equivalent to 1708.64742685869 imperial cups.^{[1]}

## Conversion formula

How to convert 513 US quarts to imperial cups?

We know (by definition) that: $1\mathrm{usquart}\approx 3.33069673851596\mathrm{brcup}$

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

$\frac{1\mathrm{usquart}}{513\mathrm{usquart}}\approx \frac{3.33069673851596\mathrm{brcup}}{x\mathrm{brcup}}$Now, we cross multiply to solve for our unknown $x$:

$x\mathrm{brcup}\approx \frac{513\mathrm{usquart}}{1\mathrm{usquart}}*3.33069673851596\mathrm{brcup}\to x\mathrm{brcup}\approx 1708.6474268586876\mathrm{brcup}$Conclusion: $513\mathrm{usquart}\approx 1708.6474268586876\mathrm{brcup}$

## Conversion in the opposite direction

The inverse of the conversion factor is that **1 imperial cup is equal to 0.000585258248296713 times 513 US quarts**.

It can also be expressed as: 513 US quarts is equal to $\frac{1}{\mathrm{0.000585258248296713}}$ imperial cups.

## Approximation

An approximate numerical result would be: **five hundred and thirteen US quarts is about one thousand, seven hundred and eight point six five imperial cups**, or alternatively, *a imperial cup is about zero times five hundred and thirteen US quarts*.

## 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.