Convert fen(市分) to mo(毛)
Learn how to convert
1
fen(市分) to
mo(毛)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(fen(市分)\right)={\color{rgb(20,165,174)} x}\left(mo(毛)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(fen(市分)\right) = {\color{rgb(89,182,91)} 5.0 \times 10^{-4}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 5.0 \times 10^{-4}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(mo(毛)\right) = {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{5}}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{5}}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(fen(市分)\right)={\color{rgb(20,165,174)} x}\left(mo(毛)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 5.0 \times 10^{-4}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{5}}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 5.0 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{5}}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 5.0 \times 10^{-4}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{5}}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(5.0 \times 10^{-4} = {\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{5}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{5}} = 5.0 \times 10^{-4}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{8.0 \times 10^{5}}{3.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{5}} \times \dfrac{8.0 \times 10^{5}}{3.0} = 5.0 \times 10^{-4} \times \dfrac{8.0 \times 10^{5}}{3.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{3.0}} \times {\color{rgb(99,194,222)} \cancel{8.0}} \times {\color{rgb(166,218,227)} \cancel{10^{5}}}}{{\color{rgb(99,194,222)} \cancel{8.0}} \times {\color{rgb(166,218,227)} \cancel{10^{5}}} \times {\color{rgb(255,204,153)} \cancel{3.0}}} = 5.0 \times {\color{rgb(255,204,153)} \cancel{10^{-4}}} \times \dfrac{8.0 \times {\color{rgb(255,204,153)} \cancelto{10}{10^{5}}}}{3.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{5.0 \times 8.0 \times 10.0}{3.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx133.33333333\approx1.3333 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(fen(市分)\right)\approx{\color{rgb(20,165,174)} 1.3333 \times 10^{2}}\left(mo(毛)\right)\)
