Convert li(厘) to nook
Learn how to convert
1
li(厘) to
nook
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(li(厘)\right)={\color{rgb(20,165,174)} x}\left(nook\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(li(厘)\right) = {\color{rgb(89,182,91)} \dfrac{20.0}{3.0}\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{20.0}{3.0}\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(nook\right) = {\color{rgb(125,164,120)} 80937.128448\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 80937.128448\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(li(厘)\right)={\color{rgb(20,165,174)} x}\left(nook\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{20.0}{3.0}} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 80937.128448}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{20.0}{3.0}} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 80937.128448} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{20.0}{3.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 80937.128448} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{20.0}{3.0} = {\color{rgb(20,165,174)} x} \times 80937.128448\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 80937.128448 = \dfrac{20.0}{3.0}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{80937.128448}\right)\)
\({\color{rgb(20,165,174)} x} \times 80937.128448 \times \dfrac{1.0}{80937.128448} = \dfrac{20.0}{3.0} \times \dfrac{1.0}{80937.128448}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{80937.128448}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{80937.128448}}} = \dfrac{20.0 \times 1.0}{3.0 \times 80937.128448}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{20.0}{3.0 \times 80937.128448}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000823685\approx8.2368 \times 10^{-5}\)
\(\text{Conversion Equation}\)
\(1.0\left(li(厘)\right)\approx{\color{rgb(20,165,174)} 8.2368 \times 10^{-5}}\left(nook\right)\)
