Convert sack to tan(担)
Learn how to convert
1
sack to
tan(担)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(sack\right)={\color{rgb(20,165,174)} x}\left(tan(担)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(sack\right) = {\color{rgb(89,182,91)} 39.689332375\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 39.689332375\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(tan(担)\right) = {\color{rgb(125,164,120)} 60.0\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 60.0\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(sack\right)={\color{rgb(20,165,174)} x}\left(tan(担)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 39.689332375} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 60.0}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 39.689332375} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 60.0} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 39.689332375} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 60.0} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(39.689332375 = {\color{rgb(20,165,174)} x} \times 60.0\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 60.0 = 39.689332375\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{60.0}\right)\)
\({\color{rgb(20,165,174)} x} \times 60.0 \times \dfrac{1.0}{60.0} = 39.689332375 \times \dfrac{1.0}{60.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{60.0}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{60.0}}} = 39.689332375 \times \dfrac{1.0}{60.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{39.689332375}{60.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.6614888729\approx6.6149 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(sack\right)\approx{\color{rgb(20,165,174)} 6.6149 \times 10^{-1}}\left(tan(担)\right)\)
