Convert maru(丸) to fun(分)

Learn how to convert 1 maru(丸) to fun(分) step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(maru(丸)\right)={\color{rgb(20,165,174)} x}\left(fun(分)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(maru(丸)\right) = {\color{rgb(89,182,91)} 30.0\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 30.0\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(fun(分)\right) = {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{3}}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{3}}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(maru(丸)\right)={\color{rgb(20,165,174)} x}\left(fun(分)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 30.0} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{3}}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 30.0} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{3}}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 30.0} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{3.0}{8.0 \times 10^{3}}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(30.0 = {\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{3}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{3}} = 30.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{8.0 \times 10^{3}}{3.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{3.0}{8.0 \times 10^{3}} \times \dfrac{8.0 \times 10^{3}}{3.0} = 30.0 \times \dfrac{8.0 \times 10^{3}}{3.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{3.0}} \times {\color{rgb(99,194,222)} \cancel{8.0}} \times {\color{rgb(166,218,227)} \cancel{10^{3}}}}{{\color{rgb(99,194,222)} \cancel{8.0}} \times {\color{rgb(166,218,227)} \cancel{10^{3}}} \times {\color{rgb(255,204,153)} \cancel{3.0}}} = 30.0 \times \dfrac{8.0 \times 10^{3}}{3.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{30.0 \times 8.0 \times 10^{3}}{3.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 80000 = 8 \times 10^{4}\)
\(\text{Conversion Equation}\)
\(1.0\left(maru(丸)\right) = {\color{rgb(20,165,174)} 8 \times 10^{4}}\left(fun(分)\right)\)

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