Convert li(厘) to ridge
Learn how to convert
1
li(厘) to
ridge
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(li(厘)\right)={\color{rgb(20,165,174)} x}\left(ridge\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(li(厘)\right) = {\color{rgb(89,182,91)} 10^{-3}\left(meter\right)} = {\color{rgb(89,182,91)} 10^{-3}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(ridge\right) = {\color{rgb(125,164,120)} 6.1722\left(meter\right)} = {\color{rgb(125,164,120)} 6.1722\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(li(厘)\right)={\color{rgb(20,165,174)} x}\left(ridge\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-3}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 6.1722}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 6.1722} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 6.1722} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(10^{-3} = {\color{rgb(20,165,174)} x} \times 6.1722\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 6.1722 = 10^{-3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{6.1722}\right)\)
\({\color{rgb(20,165,174)} x} \times 6.1722 \times \dfrac{1.0}{6.1722} = 10^{-3} \times \dfrac{1.0}{6.1722}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{6.1722}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{6.1722}}} = 10^{-3} \times \dfrac{1.0}{6.1722}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3}}{6.1722}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0001620168\approx1.6202 \times 10^{-4}\)
\(\text{Conversion Equation}\)
\(1.0\left(li(厘)\right)\approx{\color{rgb(20,165,174)} 1.6202 \times 10^{-4}}\left(ridge\right)\)
