Convert fen(市分) to quintal
Learn how to convert
1
fen(市分) to
quintal
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(fen(市分)\right)={\color{rgb(20,165,174)} x}\left(quintal\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(fen(市分)\right) = {\color{rgb(89,182,91)} 5.0 \times 10^{-4}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 5.0 \times 10^{-4}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(quintal\right) = {\color{rgb(125,164,120)} 10^{2}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 10^{2}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(fen(市分)\right)={\color{rgb(20,165,174)} x}\left(quintal\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 5.0 \times 10^{-4}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{2}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 5.0 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{2}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 5.0 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{2}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(5.0 \times 10^{-4} = {\color{rgb(20,165,174)} x} \times 10^{2}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 10^{2} = 5.0 \times 10^{-4}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{10^{2}}\right)\)
\({\color{rgb(20,165,174)} x} \times 10^{2} \times \dfrac{1.0}{10^{2}} = 5.0 \times 10^{-4} \times \dfrac{1.0}{10^{2}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{2}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{2}}}} = 5.0 \times 10^{-4} \times \dfrac{1.0}{10^{2}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{5.0 \times 10^{-4}}{10^{2}}\)
Rewrite equation
\(\dfrac{1.0}{10^{2}}\text{ can be rewritten to }10^{-2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10^{-2} \times 5.0 \times 10^{-4}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 10^{-6} \times 5.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 5 \times 10^{-6}\)
\(\text{Conversion Equation}\)
\(1.0\left(fen(市分)\right) = {\color{rgb(20,165,174)} 5 \times 10^{-6}}\left(quintal\right)\)
