Convert pound / gallon to pound / fluid-ounce

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

Calculation Breakdown

Set up the equation

1.0 (\frac{p o u n d}{g a l l o n}) = 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}{g a l l o n}) = \frac{5.0}{4.54609 \times 10^{- 2}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{5.0}{4.54609 \times 10^{- 2}} (\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}{g a l l o n}) = 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}{4.54609 \times 10^{- 2}} \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}{4.54609 \times 10^{- 2}} \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}{4.54609 \times 10^{- 2}} \cdot (\frac{k g}{m^{3}}) = x \times \frac{45359.237}{2.84130625} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{5.0}{4.54609 \times 10^{- 2}} = x \times \frac{45359.237}{2.84130625}

Switch sides

x \times \frac{45359.237}{2.84130625} = \frac{5.0}{4.54609 \times 10^{- 2}}

Isolate

x

Multiply both sides by

(\frac{2.84130625}{45359.237})

x \times \frac{45359.237}{2.84130625} \times \frac{2.84130625}{45359.237} = \frac{5.0}{4.54609 \times 10^{- 2}} \times \frac{2.84130625}{45359.237}

Cancel

x \times \frac{45359.237 \times 2.84130625}{2.84130625 \times 45359.237} = \frac{5.0 \times 2.84130625}{4.54609 \times 10^{- 2} \times 45359.237}

Simplify

x = \frac{5.0 \times 2.84130625}{4.54609 \times 10^{- 2} \times 45359.237}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 5.0 \times 2.84130625}{4.54609 \times 45359.237}

Solve

x

x \approx 0.0068894457 \approx 6.8894 \times 10^{- 3}

Conversion Equation

1.0 (\frac{p o u n d}{g a l l o n}) \approx 6.8894 \times 10^{- 3} (\frac{p o u n d}{f l u i d - o u n c e})

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