Convert carreau to cho(町)
Learn how to convert
1
carreau to
cho(町)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(carreau\right)={\color{rgb(20,165,174)} x}\left(cho(町)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(carreau\right) = {\color{rgb(89,182,91)} 1.29 \times 10^{4}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 1.29 \times 10^{4}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(cho(町)\right) = {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(carreau\right)={\color{rgb(20,165,174)} x}\left(cho(町)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.29 \times 10^{4}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.29 \times 10^{4}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.29 \times 10^{4}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.2 \times 10^{6}}{121.0}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(1.29 \times 10^{4} = {\color{rgb(20,165,174)} x} \times \dfrac{1.2 \times 10^{6}}{121.0}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(1.29 \times {\color{rgb(255,204,153)} \cancel{10^{4}}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.2 \times {\color{rgb(255,204,153)} \cancelto{10^{2}}{10^{6}}}}{121.0}\)
\(\text{Simplify}\)
\(1.29 = {\color{rgb(20,165,174)} x} \times \dfrac{1.2 \times 10^{2}}{121.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.2 \times 10^{2}}{121.0} = 1.29\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{121.0}{1.2 \times 10^{2}}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.2 \times 10^{2}}{121.0} \times \dfrac{121.0}{1.2 \times 10^{2}} = 1.29 \times \dfrac{121.0}{1.2 \times 10^{2}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.2}} \times {\color{rgb(99,194,222)} \cancel{10^{2}}} \times {\color{rgb(166,218,227)} \cancel{121.0}}}{{\color{rgb(166,218,227)} \cancel{121.0}} \times {\color{rgb(255,204,153)} \cancel{1.2}} \times {\color{rgb(99,194,222)} \cancel{10^{2}}}} = 1.29 \times \dfrac{121.0}{1.2 \times 10^{2}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.29 \times 121.0}{1.2 \times 10^{2}}\)
Rewrite equation
\(\dfrac{1.0}{10^{2}}\text{ can be rewritten to }10^{-2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-2} \times 1.29 \times 121.0}{1.2}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 1.30075\approx1.3008\)
\(\text{Conversion Equation}\)
\(1.0\left(carreau\right)\approx{\color{rgb(20,165,174)} 1.3008}\left(cho(町)\right)\)
