# Convert dan(市石) to strike

Learn how to convert 1 dan(市石) to strike step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(dan(市石)\right)={\color{rgb(20,165,174)} x}\left(strike\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(cubic \text{ } meter\right)$$
$$\text{Left side: 1.0 } \left(dan(市石)\right) = {\color{rgb(89,182,91)} 10^{-1}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 10^{-1}\left(m^{3}\right)}$$
$$\text{Right side: 1.0 } \left(strike\right) = {\color{rgb(125,164,120)} 7.273744 \times 10^{-2}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 7.273744 \times 10^{-2}\left(m^{3}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(dan(市石)\right)={\color{rgb(20,165,174)} x}\left(strike\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 10^{-1}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 7.273744 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 10^{-1}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 7.273744 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 10^{-1}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 7.273744 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}$$
$$\text{Conversion Equation}$$
$$10^{-1} = {\color{rgb(20,165,174)} x} \times 7.273744 \times 10^{-2}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$${\color{rgb(255,204,153)} \cancel{10^{-1}}} = {\color{rgb(20,165,174)} x} \times 7.273744 \times {\color{rgb(255,204,153)} \cancelto{10^{-1}}{10^{-2}}}$$
$$\text{Simplify}$$
$$1.0 = {\color{rgb(20,165,174)} x} \times 7.273744 \times 10^{-1}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 7.273744 \times 10^{-1} = 1.0$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{7.273744 \times 10^{-1}}\right)$$
$${\color{rgb(20,165,174)} x} \times 7.273744 \times 10^{-1} \times \dfrac{1.0}{7.273744 \times 10^{-1}} = \times \dfrac{1.0}{7.273744 \times 10^{-1}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{7.273744}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{7.273744}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}}} = \dfrac{1.0}{7.273744 \times 10^{-1}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1.0}{7.273744 \times 10^{-1}}$$
Rewrite equation
$$\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10.0}{7.273744}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx1.3748078019\approx1.3748$$
$$\text{Conversion Equation}$$
$$1.0\left(dan(市石)\right)\approx{\color{rgb(20,165,174)} 1.3748}\left(strike\right)$$