# Convert cental to slug

Learn how to convert 1 cental to slug step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(cental\right)={\color{rgb(20,165,174)} x}\left(slug\right)$$
Define the base values of the selected units in relation to the SI unit $$\left({\color{rgb(230,179,255)} kilo}gram\right)$$
$$\text{Left side: 1.0 } \left(cental\right) = {\color{rgb(89,182,91)} 45.359237\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 45.359237\left({\color{rgb(230,179,255)} k}g\right)}$$
$$\text{Right side: 1.0 } \left(slug\right) = {\color{rgb(125,164,120)} 14.5920665429\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 14.5920665429\left({\color{rgb(230,179,255)} k}g\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(cental\right)={\color{rgb(20,165,174)} x}\left(slug\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 45.359237} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 14.5920665429}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 45.359237} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 14.5920665429} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 45.359237} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 14.5920665429} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}$$
$$\text{Conversion Equation}$$
$$45.359237 = {\color{rgb(20,165,174)} x} \times 14.5920665429$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 14.5920665429 = 45.359237$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{14.5920665429}\right)$$
$${\color{rgb(20,165,174)} x} \times 14.5920665429 \times \dfrac{1.0}{14.5920665429} = 45.359237 \times \dfrac{1.0}{14.5920665429}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{14.5920665429}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{14.5920665429}}} = 45.359237 \times \dfrac{1.0}{14.5920665429}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{45.359237}{14.5920665429}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx3.1084861672\approx3.1085$$
$$\text{Conversion Equation}$$
$$1.0\left(cental\right)\approx{\color{rgb(20,165,174)} 3.1085}\left(slug\right)$$

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