Convert rin(厘) to em
Learn how to convert
1
rin(厘) to
em
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(rin(厘)\right)={\color{rgb(20,165,174)} x}\left(em\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(rin(厘)\right) = {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}\left(meter\right)} = {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(em\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{2835.0}\left(meter\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{2835.0}\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(rin(厘)\right)={\color{rgb(20,165,174)} x}\left(em\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{2835.0}}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{2835.0}} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{1.0}{3.3 \times 10^{3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{2835.0}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{1.0}{3.3 \times 10^{3}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{2835.0}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{3.3 \times 10^{3}} = {\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}}}{2835.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{2835.0} = \dfrac{1.0}{3.3 \times 10^{3}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{2835.0}{1.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{2835.0} \times \dfrac{2835.0}{1.0} = \dfrac{1.0}{3.3 \times 10^{3}} \times \dfrac{2835.0}{1.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{2835.0}}}{{\color{rgb(99,194,222)} \cancel{2835.0}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times 2835.0}{3.3 \times 10^{3} \times {\color{rgb(255,204,153)} \cancel{1.0}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2835.0}{3.3 \times 10^{3}}\)
Rewrite equation
\(\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3} \times 2835.0}{3.3}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.8590909091\approx8.5909 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(rin(厘)\right)\approx{\color{rgb(20,165,174)} 8.5909 \times 10^{-1}}\left(em\right)\)
