# 513 US customary teaspoons in imperial cups

## Conversion

513 US customary teaspoons is equivalent to 8.89920534822232 imperial cups.^{[1]}

## Conversion formula

How to convert 513 US customary teaspoons to imperial cups?

We know (by definition) that: $1\mathrm{usteaspoon}\approx 0.0173473788464373\mathrm{brcup}$

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

$\frac{1\mathrm{usteaspoon}}{513\mathrm{usteaspoon}}\approx \frac{0.0173473788464373\mathrm{brcup}}{x\mathrm{brcup}}$Now, we cross multiply to solve for our unknown $x$:

$x\mathrm{brcup}\approx \frac{513\mathrm{usteaspoon}}{1\mathrm{usteaspoon}}*0.0173473788464373\mathrm{brcup}\to x\mathrm{brcup}\approx 8.899205348222335\mathrm{brcup}$Conclusion: $513\mathrm{usteaspoon}\approx 8.899205348222335\mathrm{brcup}$

## Conversion in the opposite direction

The inverse of the conversion factor is that **1 imperial cup is equal to 0.112369583672969 times 513 US customary teaspoons**.

It can also be expressed as: 513 US customary teaspoons is equal to $\frac{1}{\mathrm{0.112369583672969}}$ imperial cups.

## Approximation

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

## 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.