Convert gros to slinch
Learn how to convert
1
gros to
slinch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(gros\right)={\color{rgb(20,165,174)} x}\left(slinch\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(gros\right) = {\color{rgb(89,182,91)} 3.8242264\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 3.8242264\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(slinch\right) = {\color{rgb(125,164,120)} 175.1268\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 175.1268\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(gros\right)={\color{rgb(20,165,174)} x}\left(slinch\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.8242264} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 175.1268}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.8242264} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 175.1268} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.8242264} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 175.1268} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(3.8242264 = {\color{rgb(20,165,174)} x} \times 175.1268\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 175.1268 = 3.8242264\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{175.1268}\right)\)
\({\color{rgb(20,165,174)} x} \times 175.1268 \times \dfrac{1.0}{175.1268} = 3.8242264 \times \dfrac{1.0}{175.1268}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{175.1268}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{175.1268}}} = 3.8242264 \times \dfrac{1.0}{175.1268}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.8242264}{175.1268}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0218368999\approx2.1837 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(gros\right)\approx{\color{rgb(20,165,174)} 2.1837 \times 10^{-2}}\left(slinch\right)\)
