Convert firkin to jin(市斤)
Learn how to convert
1
firkin to
jin(市斤)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(firkin\right)={\color{rgb(20,165,174)} x}\left(jin(市斤)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(firkin\right) = {\color{rgb(89,182,91)} 25.40117272\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 25.40117272\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(jin(市斤)\right) = {\color{rgb(125,164,120)} 5.0 \times 10^{-1}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 5.0 \times 10^{-1}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(firkin\right)={\color{rgb(20,165,174)} x}\left(jin(市斤)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 25.40117272} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 5.0 \times 10^{-1}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 25.40117272} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 5.0 \times 10^{-1}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 25.40117272} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 5.0 \times 10^{-1}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(25.40117272 = {\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-1}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-1} = 25.40117272\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{5.0 \times 10^{-1}}\right)\)
\({\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-1} \times \dfrac{1.0}{5.0 \times 10^{-1}} = 25.40117272 \times \dfrac{1.0}{5.0 \times 10^{-1}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{5.0}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{5.0}} \times {\color{rgb(99,194,222)} \cancel{10^{-1}}}} = 25.40117272 \times \dfrac{1.0}{5.0 \times 10^{-1}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{25.40117272}{5.0 \times 10^{-1}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10.0 \times 25.40117272}{5.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 50.80234544\approx50.8023\)
\(\text{Conversion Equation}\)
\(1.0\left(firkin\right)\approx{\color{rgb(20,165,174)} 50.8023}\left(jin(市斤)\right)\)