# Convert pound / fluid-ounce to ton / liter

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

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{pound}{fluid-ounce}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{ton}{liter}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{pound}{fluid-ounce}\right) = {\color{rgb(89,182,91)} \dfrac{45359.237}{2.95735295625}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{45359.237}{2.95735295625}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{ton}{liter}\right) = {\color{rgb(125,164,120)} 10^{6}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} 10^{6}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{pound}{fluid-ounce}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{ton}{liter}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{45359.237}{2.95735295625}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{6}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{45359.237}{2.95735295625}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{6}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{45359.237}{2.95735295625}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{6}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{45359.237}{2.95735295625} = {\color{rgb(20,165,174)} x} \times 10^{6}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 10^{6} = \dfrac{45359.237}{2.95735295625}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{10^{6}}\right)$$
$${\color{rgb(20,165,174)} x} \times 10^{6} \times \dfrac{1.0}{10^{6}} = \dfrac{45359.237}{2.95735295625} \times \dfrac{1.0}{10^{6}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{6}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{6}}}} = \dfrac{45359.237 \times 1.0}{2.95735295625 \times 10^{6}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{45359.237}{2.95735295625 \times 10^{6}}$$
Rewrite equation
$$\dfrac{1.0}{10^{6}}\text{ can be rewritten to }10^{-6}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{-6} \times 45359.237}{2.95735295625}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0153377827\approx1.5338 \times 10^{-2}$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{pound}{fluid-ounce}\right)\approx{\color{rgb(20,165,174)} 1.5338 \times 10^{-2}}\left(\dfrac{ton}{liter}\right)$$