# Convert ounce to cental

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

## Calculation Breakdown

Set up the equation
$$1.0\left(ounce\right)={\color{rgb(20,165,174)} x}\left(cental\right)$$
Define the base values of the selected units in relation to the SI unit $$\left({\color{rgb(230,179,255)} kilo}gram\right)$$
$$\text{Left side: 1.0 } \left(ounce\right) = {\color{rgb(89,182,91)} 0.1\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 0.1\left({\color{rgb(230,179,255)} k}g\right)}$$
$$\text{Right side: 1.0 } \left(cental\right) = {\color{rgb(125,164,120)} 45.359237\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 45.359237\left({\color{rgb(230,179,255)} k}g\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(ounce\right)={\color{rgb(20,165,174)} x}\left(cental\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 0.1} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 45.359237}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 0.1} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 45.359237} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 0.1} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 45.359237} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}$$
$$\text{Conversion Equation}$$
$$0.1 = {\color{rgb(20,165,174)} x} \times 45.359237$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 45.359237 = 0.1$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{45.359237}\right)$$
$${\color{rgb(20,165,174)} x} \times 45.359237 \times \dfrac{1.0}{45.359237} = 0.1 \times \dfrac{1.0}{45.359237}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{45.359237}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{45.359237}}} = 0.1 \times \dfrac{1.0}{45.359237}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{0.1}{45.359237}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0022046226\approx2.2046 \times 10^{-3}$$
$$\text{Conversion Equation}$$
$$1.0\left(ounce\right)\approx{\color{rgb(20,165,174)} 2.2046 \times 10^{-3}}\left(cental\right)$$