Convert kin(斤) to kan(貫)
Learn how to convert
1
kin(斤) to
kan(貫)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(kin(斤)\right)={\color{rgb(20,165,174)} x}\left(kan(貫)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(kin(斤)\right) = {\color{rgb(89,182,91)} 0.6\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 0.6\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(kan(貫)\right) = {\color{rgb(125,164,120)} 3.75\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 3.75\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(kin(斤)\right)={\color{rgb(20,165,174)} x}\left(kan(貫)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.6} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 3.75}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.6} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 3.75} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.6} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 3.75} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(0.6 = {\color{rgb(20,165,174)} x} \times 3.75\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 3.75 = 0.6\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{3.75}\right)\)
\({\color{rgb(20,165,174)} x} \times 3.75 \times \dfrac{1.0}{3.75} = 0.6 \times \dfrac{1.0}{3.75}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{3.75}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{3.75}}} = 0.6 \times \dfrac{1.0}{3.75}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.6}{3.75}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 0.16 = 1.6 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(kin(斤)\right) = {\color{rgb(20,165,174)} 1.6 \times 10^{-1}}\left(kan(貫)\right)\)
