Convert pound / fluid-ounce to pound / fluid-ounce

Learn how to convert 1 pound / fluid-ounce to pound / fluid-ounce 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{p o u n d}{f l u i d - o u n c e})

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{5.0}{2.84130625 \times 10^{- 4}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{5.0}{2.84130625 \times 10^{- 4}} (\frac{k g}{m^{3}})

Right 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}})

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{p o u n d}{f l u i d - o u n c e})

Insert known values =>

1.0 \times \frac{5.0}{2.84130625 \times 10^{- 4}} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \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})

Or

1.0 \cdot \frac{5.0}{2.84130625 \times 10^{- 4}} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{45359.237}{2.84130625} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{5.0}{2.84130625 \times 10^{- 4}} \cdot (\frac{k g}{m^{3}}) = x \times \frac{45359.237}{2.84130625} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{5.0}{2.84130625 \times 10^{- 4}} = x \times \frac{45359.237}{2.84130625}

Cancel factors on both sides

Cancel factors

\frac{5.0}{2.84130625 \times 10^{- 4}} = x \times \frac{45359.237}{2.84130625}

Simplify

\frac{5.0}{10^{- 4}} = x \times 45359.237

Switch sides

x \times 45359.237 = \frac{5.0}{10^{- 4}}

Isolate

x

Multiply both sides by

(\frac{1.0}{45359.237})

x \times 45359.237 \times \frac{1.0}{45359.237} = \frac{5.0}{10^{- 4}} \times \frac{1.0}{45359.237}

Cancel

x \times 45359.237 \times \frac{1.0}{45359.237} = \frac{5.0 \times 1.0}{10^{- 4} \times 45359.237}

Simplify

x = \frac{5.0}{10^{- 4} \times 45359.237}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 5.0}{45359.237}

Solve

x

x \approx 1.1023113109 \approx 1.1023

Conversion Equation

1.0 (\frac{p o u n d}{f l u i d - o u n c e}) \approx 1.1023 (\frac{p o u n d}{f l u i d - o u n c e})

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