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 \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(Momme(匁)\right) = {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(ounce\right) = {\color{rgb(125,164,120)} 0.1\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 0.1\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(Momme(匁)\right)={\color{rgb(20,165,174)} x}\left(ounce\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.1}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.1} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{3.0}{8.0 \times 10^{2}}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.1} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{3.0}{8.0 \times 10^{2}} = {\color{rgb(20,165,174)} x} \times 0.1\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.1 = \dfrac{3.0}{8.0 \times 10^{2}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.1}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.1 \times \dfrac{1.0}{0.1} = \dfrac{3.0}{8.0 \times 10^{2}} \times \dfrac{1.0}{0.1}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.1}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.1}}} = \dfrac{3.0 \times 1.0}{8.0 \times 10^{2} \times 0.1}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.0}{8.0 \times 10^{2} \times 0.1}\)
Rewrite equation
\(\dfrac{1.0}{10^{2}}\text{ can be rewritten to }10^{-2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-2} \times 3.0}{8.0 \times 0.1}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 0.0375 = 3.75 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(Momme(匁)\right) = {\color{rgb(20,165,174)} 3.75 \times 10^{-2}}\left(ounce\right)\)
