Convert mou(亩) to square mile
Learn how to convert
1
mou(亩) to
square mile
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(mou(亩)\right)={\color{rgb(20,165,174)} x}\left(square \text{ } mile\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(mou(亩)\right) = {\color{rgb(89,182,91)} \dfrac{10^{4}}{15.0}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{10^{4}}{15.0}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(square \text{ } mile\right) = {\color{rgb(125,164,120)} 3434290.937856\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 3434290.937856\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(mou(亩)\right)={\color{rgb(20,165,174)} x}\left(square \text{ } mile\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{4}}{15.0}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3434290.937856}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{10^{4}}{15.0}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3434290.937856} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{10^{4}}{15.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3434290.937856} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{10^{4}}{15.0} = {\color{rgb(20,165,174)} x} \times 3434290.937856\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3434290.937856 = \dfrac{10^{4}}{15.0}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3434290.937856}\right)\)
\({\color{rgb(20,165,174)} x} \times 3434290.937856 \times \dfrac{1.0}{3434290.937856} = \dfrac{10^{4}}{15.0} \times \dfrac{1.0}{3434290.937856}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3434290.937856}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3434290.937856}}} = \dfrac{10^{4} \times 1.0}{15.0 \times 3434290.937856}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{4}}{15.0 \times 3434290.937856}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0001941206\approx1.9412 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(mou(亩)\right)\approx{\color{rgb(20,165,174)} 1.9412 \times 10^{-4}}\left(square \text{ } mile\right)\)
