Convert acre to bovate
Learn how to convert
1
acre to
bovate
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(acre\right)={\color{rgb(20,165,174)} x}\left(bovate\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(acre\right) = {\color{rgb(89,182,91)} 4046.8564224\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 4046.8564224\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(bovate\right) = {\color{rgb(125,164,120)} 6.0 \times 10^{4}\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 6.0 \times 10^{4}\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(acre\right)={\color{rgb(20,165,174)} x}\left(bovate\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 4046.8564224} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 6.0 \times 10^{4}}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 4046.8564224} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 6.0 \times 10^{4}} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 4046.8564224} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 6.0 \times 10^{4}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(4046.8564224 = {\color{rgb(20,165,174)} x} \times 6.0 \times 10^{4}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 6.0 \times 10^{4} = 4046.8564224\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{6.0 \times 10^{4}}\right)\)
\({\color{rgb(20,165,174)} x} \times 6.0 \times 10^{4} \times \dfrac{1.0}{6.0 \times 10^{4}} = 4046.8564224 \times \dfrac{1.0}{6.0 \times 10^{4}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{6.0}} \times {\color{rgb(99,194,222)} \cancel{10^{4}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{6.0}} \times {\color{rgb(99,194,222)} \cancel{10^{4}}}} = 4046.8564224 \times \dfrac{1.0}{6.0 \times 10^{4}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{4046.8564224}{6.0 \times 10^{4}}\)
Rewrite equation
\(\dfrac{1.0}{10^{4}}\text{ can be rewritten to }10^{-4}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-4} \times 4046.8564224}{6.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.067447607\approx6.7448 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(acre\right)\approx{\color{rgb(20,165,174)} 6.7448 \times 10^{-2}}\left(bovate\right)\)
