Convert jo(丈) to chi(公尺)
Learn how to convert
1
jo(丈) to
chi(公尺)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(jo(丈)\right)={\color{rgb(20,165,174)} x}\left(chi(公尺)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(jo(丈)\right) = {\color{rgb(89,182,91)} \dfrac{10^{2}}{33.0}\left(meter\right)} = {\color{rgb(89,182,91)} \dfrac{10^{2}}{33.0}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(chi(公尺)\right) = {\color{rgb(125,164,120)} 1.0\left(meter\right)} = {\color{rgb(125,164,120)} 1.0\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(jo(丈)\right)={\color{rgb(20,165,174)} x}\left(chi(公尺)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{2}}{33.0}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.0}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{10^{2}}{33.0}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.0} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{2}}{33.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.0} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{10^{2}}{33.0} = {\color{rgb(20,165,174)} x} \times 1.0\)
\(\text{Simplify}\)
\(\dfrac{10^{2}}{33.0} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = \dfrac{10^{2}}{33.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx3.0303030303\approx3.0303\)
\(\text{Conversion Equation}\)
\(1.0\left(jo(丈)\right)\approx{\color{rgb(20,165,174)} 3.0303}\left(chi(公尺)\right)\)
