Convert pound / fluid-ounce to ounce / liter

Learn how to convert 1 pound / fluid-ounce to ounce / liter step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{p o u n d}{f l u i d - o u n c e}) = x (\frac{o u n c e}{l i t e r})

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{c u b i c m e t e r})

Left side: 1.0 (\frac{p o u n d}{f l u i d - o u n c e}) = \frac{45359.237}{2.84130625} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{45359.237}{2.84130625} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{o u n c e}{l i t e r}) = 28.349523125 (\frac{k i l o g r a m}{c u b i c m e t e r}) = 28.349523125 (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{p o u n d}{f l u i d - o u n c e}) = x (\frac{o u n c e}{l i t e r})

Insert known values =>

1.0 \times \frac{45359.237}{2.84130625} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times 28.349523125 \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot \frac{45359.237}{2.84130625} \cdot (\frac{k g}{m^{3}}) = x \cdot 28.349523125 \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{45359.237}{2.84130625} \cdot (\frac{k g}{m^{3}}) = x \times 28.349523125 \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{45359.237}{2.84130625} = x \times 28.349523125

Switch sides

x \times 28.349523125 = \frac{45359.237}{2.84130625}

Isolate

x

Multiply both sides by

(\frac{1.0}{28.349523125})

x \times 28.349523125 \times \frac{1.0}{28.349523125} = \frac{45359.237}{2.84130625} \times \frac{1.0}{28.349523125}

Cancel

x \times 28.349523125 \times \frac{1.0}{28.349523125} = \frac{45359.237 \times 1.0}{2.84130625 \times 28.349523125}

Simplify

x = \frac{45359.237}{2.84130625 \times 28.349523125}

Solve

x

x \approx 563.12127565 \approx 5.6312 \times 10^{2}

Conversion Equation

1.0 (\frac{p o u n d}{f l u i d - o u n c e}) \approx 5.6312 \times 10^{2} (\frac{o u n c e}{l i t e r})

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