Convert quarter to li(市厘)
Learn how to convert
1
quarter to
li(市厘)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(quarter\right)={\color{rgb(20,165,174)} x}\left(li(市厘)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(quarter\right) = {\color{rgb(89,182,91)} 254.0117272\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 254.0117272\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(li(市厘)\right) = {\color{rgb(125,164,120)} 5.0 \times 10^{-5}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 5.0 \times 10^{-5}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(quarter\right)={\color{rgb(20,165,174)} x}\left(li(市厘)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 254.0117272} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 5.0 \times 10^{-5}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 254.0117272} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 5.0 \times 10^{-5}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 254.0117272} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 5.0 \times 10^{-5}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(254.0117272 = {\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-5}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-5} = 254.0117272\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{5.0 \times 10^{-5}}\right)\)
\({\color{rgb(20,165,174)} x} \times 5.0 \times 10^{-5} \times \dfrac{1.0}{5.0 \times 10^{-5}} = 254.0117272 \times \dfrac{1.0}{5.0 \times 10^{-5}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{5.0}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{5.0}} \times {\color{rgb(99,194,222)} \cancel{10^{-5}}}} = 254.0117272 \times \dfrac{1.0}{5.0 \times 10^{-5}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{254.0117272}{5.0 \times 10^{-5}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-5}}\text{ can be rewritten to }10^{5}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{5} \times 254.0117272}{5.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 5080234.544\approx5.0802 \times 10^{6}\)
\(\text{Conversion Equation}\)
\(1.0\left(quarter\right)\approx{\color{rgb(20,165,174)} 5.0802 \times 10^{6}}\left(li(市厘)\right)\)
