Convert nook to virgate
Learn how to convert
1
nook to
virgate
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(nook\right)={\color{rgb(20,165,174)} x}\left(virgate\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(nook\right) = {\color{rgb(89,182,91)} 80937.128448\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 80937.128448\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(virgate\right) = {\color{rgb(125,164,120)} 121405.692672\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 121405.692672\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(nook\right)={\color{rgb(20,165,174)} x}\left(virgate\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 80937.128448} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 121405.692672}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 80937.128448} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 121405.692672} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 80937.128448} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 121405.692672} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(80937.128448 = {\color{rgb(20,165,174)} x} \times 121405.692672\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 121405.692672 = 80937.128448\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{121405.692672}\right)\)
\({\color{rgb(20,165,174)} x} \times 121405.692672 \times \dfrac{1.0}{121405.692672} = 80937.128448 \times \dfrac{1.0}{121405.692672}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{121405.692672}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{121405.692672}}} = 80937.128448 \times \dfrac{1.0}{121405.692672}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{80937.128448}{121405.692672}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.6666666667\approx6.6667 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(nook\right)\approx{\color{rgb(20,165,174)} 6.6667 \times 10^{-1}}\left(virgate\right)\)
