Convert Momme(匁) to ounce

Learn how to convert 1 Momme(匁) to ounce step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(Momme(匁)\right)={\color{rgb(20,165,174)} x}\left(ounce\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(Momme(匁)\right) = {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(ounce\right) = {\color{rgb(125,164,120)} 2.8349523125 \times 10^{-2}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 2.8349523125 \times 10^{-2}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(Momme(匁)\right)={\color{rgb(20,165,174)} x}\left(ounce\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.8349523125 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.8349523125 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.8349523125 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{3.0}{8.0 \times 10^{2}} = {\color{rgb(20,165,174)} x} \times 2.8349523125 \times 10^{-2}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.8349523125 \times 10^{-2} = \dfrac{3.0}{8.0 \times 10^{2}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.8349523125 \times 10^{-2}}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.8349523125 \times 10^{-2} \times \dfrac{1.0}{2.8349523125 \times 10^{-2}} = \dfrac{3.0}{8.0 \times 10^{2}} \times \dfrac{1.0}{2.8349523125 \times 10^{-2}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.8349523125}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.8349523125}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}}} = \dfrac{3.0 \times 1.0}{8.0 \times {\color{rgb(255,204,153)} \cancel{10^{2}}} \times 2.8349523125 \times {\color{rgb(255,204,153)} \cancel{10^{-2}}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.0}{8.0 \times 2.8349523125}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.1322773573\approx1.3228 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(Momme(匁)\right)\approx{\color{rgb(20,165,174)} 1.3228 \times 10^{-1}}\left(ounce\right)\)

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