Convert scruple to wey
Learn how to convert
1
scruple to
wey
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(scruple\right)={\color{rgb(20,165,174)} x}\left(wey\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(scruple\right) = {\color{rgb(89,182,91)} 0.0012959782\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 0.0012959782\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(wey\right) = {\color{rgb(125,164,120)} 161.47888372\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 161.47888372\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(scruple\right)={\color{rgb(20,165,174)} x}\left(wey\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.0012959782} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 161.47888372}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.0012959782} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 161.47888372} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.0012959782} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 161.47888372} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(0.0012959782 = {\color{rgb(20,165,174)} x} \times 161.47888372\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 161.47888372 = 0.0012959782\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{161.47888372}\right)\)
\({\color{rgb(20,165,174)} x} \times 161.47888372 \times \dfrac{1.0}{161.47888372} = 0.0012959782 \times \dfrac{1.0}{161.47888372}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{161.47888372}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{161.47888372}}} = 0.0012959782 \times \dfrac{1.0}{161.47888372}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.0012959782}{161.47888372}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000080257\approx8.0257 \times 10^{-6}\)
\(\text{Conversion Equation}\)
\(1.0\left(scruple\right)\approx{\color{rgb(20,165,174)} 8.0257 \times 10^{-6}}\left(wey\right)\)
