Convert mite to jin(市斤)

Learn how to convert 1 mite to jin(市斤) step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(mite\right)={\color{rgb(20,165,174)} x}\left(jin(市斤)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(mite\right) = {\color{rgb(89,182,91)} 3.2399455 \times 10^{-6}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 3.2399455 \times 10^{-6}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(jin(市斤)\right) = {\color{rgb(125,164,120)} 5.0 \times 10^{-1}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 5.0 \times 10^{-1}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(mite\right)={\color{rgb(20,165,174)} x}\left(jin(市斤)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.2399455 \times 10^{-6}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 5.0 \times 10^{-1}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.2399455 \times 10^{-6}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 5.0 \times 10^{-1}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.2399455 \times 10^{-6}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 5.0 \times 10^{-1}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(3.2399455 \times 10^{-6} = {\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-1}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(3.2399455 \times {\color{rgb(255,204,153)} \cancelto{10^{-5}}{10^{-6}}} = {\color{rgb(20,165,174)} x} \times 5.0 \times {\color{rgb(255,204,153)} \cancel{10^{-1}}}\)
\(\text{Simplify}\)
\(3.2399455 \times 10^{-5} = {\color{rgb(20,165,174)} x} \times 5.0\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 5.0 = 3.2399455 \times 10^{-5}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{5.0}\right)\)
\({\color{rgb(20,165,174)} x} \times 5.0 \times \dfrac{1.0}{5.0} = 3.2399455 \times 10^{-5} \times \dfrac{1.0}{5.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{5.0}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{5.0}}} = 3.2399455 \times 10^{-5} \times \dfrac{1.0}{5.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.2399455 \times 10^{-5}}{5.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000064799\approx6.4799 \times 10^{-6}\)
\(\text{Conversion Equation}\)
\(1.0\left(mite\right)\approx{\color{rgb(20,165,174)} 6.4799 \times 10^{-6}}\left(jin(市斤)\right)\)

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