Convert pound / liter to pound / liter

Learn how to convert 1 pound / liter to pound / liter step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{p o u n d}{l i t e r}) = x (\frac{p o u n d}{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}{l i t e r}) = 4.5359237 \times 10^{2} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 4.5359237 \times 10^{2} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{p o u n d}{l i t e r}) = 5.0 \times 10^{2} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 5.0 \times 10^{2} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 4.5359237 \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 5.0 \times 10^{2} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 4.5359237 \times 10^{2} \cdot (\frac{k g}{m^{3}}) = x \cdot 5.0 \times 10^{2} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 4.5359237 \times 10^{2} \cdot (\frac{k g}{m^{3}}) = x \times 5.0 \times 10^{2} \times (\frac{k g}{m^{3}})

Conversion Equation

4.5359237 \times 10^{2} = x \times 5.0 \times 10^{2}

Cancel factors on both sides

Cancel factors

4.5359237 \times 10^{2} = x \times 5.0 \times 10^{2}

Simplify

4.5359237 = x \times 5.0

Switch sides

x \times 5.0 = 4.5359237

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0})

x \times 5.0 \times \frac{1.0}{5.0} = 4.5359237 \times \frac{1.0}{5.0}

Cancel

x \times 5.0 \times \frac{1.0}{5.0} = 4.5359237 \times \frac{1.0}{5.0}

Simplify

x = \frac{4.5359237}{5.0}

Solve

x

x = 0.90718474 \approx 9.0718 \times 10^{- 1}

Conversion Equation

1.0 (\frac{p o u n d}{l i t e r}) \approx 9.0718 \times 10^{- 1} (\frac{p o u n d}{l i t e r})

View All Examples