# Convert ridge to cun(公寸)

Learn how to convert 1 ridge to cun(公寸) step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(ridge\right)={\color{rgb(20,165,174)} x}\left(cun(公寸)\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(ridge\right) = {\color{rgb(89,182,91)} 6.1722\left(meter\right)} = {\color{rgb(89,182,91)} 6.1722\left(m\right)}$$
$$\text{Right side: 1.0 } \left(cun(公寸)\right) = {\color{rgb(125,164,120)} 10^{-1}\left(meter\right)} = {\color{rgb(125,164,120)} 10^{-1}\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(ridge\right)={\color{rgb(20,165,174)} x}\left(cun(公寸)\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 6.1722} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{-1}}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 6.1722} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{-1}} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 6.1722} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{-1}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$6.1722 = {\color{rgb(20,165,174)} x} \times 10^{-1}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 10^{-1} = 6.1722$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{10^{-1}}\right)$$
$${\color{rgb(20,165,174)} x} \times 10^{-1} \times \dfrac{1.0}{10^{-1}} = 6.1722 \times \dfrac{1.0}{10^{-1}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{-1}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{-1}}}} = 6.1722 \times \dfrac{1.0}{10^{-1}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{6.1722}{10^{-1}}$$
Rewrite equation
$$\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = 10.0 \times 6.1722$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 61.722$$
$$\text{Conversion Equation}$$
$$1.0\left(ridge\right) = {\color{rgb(20,165,174)} 61.722}\left(cun(公寸)\right)$$