# Convert cun(寸) to big point

Learn how to convert 1 cun(寸) to big point step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(cun(寸)\right)={\color{rgb(20,165,174)} x}\left(big \text{ } point\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(cun(寸)\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{30.0}\left(meter\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{30.0}\left(m\right)}$$
$$\text{Right side: 1.0 } \left(big \text{ } point\right) = {\color{rgb(125,164,120)} \dfrac{352.777425}{999999.0}\left(meter\right)} = {\color{rgb(125,164,120)} \dfrac{352.777425}{999999.0}\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(cun(寸)\right)={\color{rgb(20,165,174)} x}\left(big \text{ } point\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{30.0}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{352.777425}{999999.0}}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{30.0}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{352.777425}{999999.0}} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{30.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{352.777425}{999999.0}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{1.0}{30.0} = {\color{rgb(20,165,174)} x} \times \dfrac{352.777425}{999999.0}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{352.777425}{999999.0} = \dfrac{1.0}{30.0}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{999999.0}{352.777425}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{352.777425}{999999.0} \times \dfrac{999999.0}{352.777425} = \dfrac{1.0}{30.0} \times \dfrac{999999.0}{352.777425}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{352.777425}} \times {\color{rgb(99,194,222)} \cancel{999999.0}}}{{\color{rgb(99,194,222)} \cancel{999999.0}} \times {\color{rgb(255,204,153)} \cancel{352.777425}}} = \dfrac{1.0 \times 999999.0}{30.0 \times 352.777425}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{999999.0}{30.0 \times 352.777425}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx94.488188976\approx94.4882$$
$$\text{Conversion Equation}$$
$$1.0\left(cun(寸)\right)\approx{\color{rgb(20,165,174)} 94.4882}\left(big \text{ } point\right)$$