# Convert shaku(尺) to chi(公尺)

Learn how to convert 1 shaku(尺) to chi(公尺) step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(shaku(尺)\right)={\color{rgb(20,165,174)} x}\left(chi(公尺)\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(shaku(尺)\right) = {\color{rgb(89,182,91)} \dfrac{10.0}{33.0}\left(meter\right)} = {\color{rgb(89,182,91)} \dfrac{10.0}{33.0}\left(m\right)}$$
$$\text{Right side: 1.0 } \left(chi(公尺)\right) = {\color{rgb(125,164,120)} 1.0\left(meter\right)} = {\color{rgb(125,164,120)} 1.0\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(shaku(尺)\right)={\color{rgb(20,165,174)} x}\left(chi(公尺)\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{10.0}{33.0}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{10.0}{33.0}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{10.0}{33.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{10.0}{33.0} = {\color{rgb(20,165,174)} x} \times 1.0$$
$$\text{Simplify}$$
$$\dfrac{10.0}{33.0} = {\color{rgb(20,165,174)} x}$$
Switch sides
$${\color{rgb(20,165,174)} x} = \dfrac{10.0}{33.0}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.303030303\approx3.0303 \times 10^{-1}$$
$$\text{Conversion Equation}$$
$$1.0\left(shaku(尺)\right)\approx{\color{rgb(20,165,174)} 3.0303 \times 10^{-1}}\left(chi(公尺)\right)$$

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