Convert go(合) to fifth
Learn how to convert
1
go(合) to
fifth
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(go(合)\right)={\color{rgb(20,165,174)} x}\left(fifth\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(go(合)\right) = {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{7}}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{7}}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(fifth\right) = {\color{rgb(125,164,120)} 7.570823568 \times 10^{-4}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 7.570823568 \times 10^{-4}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(go(合)\right)={\color{rgb(20,165,174)} x}\left(fifth\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{7}}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 7.570823568 \times 10^{-4}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{7}}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 7.570823568 \times 10^{-4}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2401.0}{1.331 \times 10^{7}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 7.570823568 \times 10^{-4}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{2401.0}{1.331 \times 10^{7}} = {\color{rgb(20,165,174)} x} \times 7.570823568 \times 10^{-4}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 7.570823568 \times 10^{-4} = \dfrac{2401.0}{1.331 \times 10^{7}}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{7.570823568 \times 10^{-4}}\right)\)
\({\color{rgb(20,165,174)} x} \times 7.570823568 \times 10^{-4} \times \dfrac{1.0}{7.570823568 \times 10^{-4}} = \dfrac{2401.0}{1.331 \times 10^{7}} \times \dfrac{1.0}{7.570823568 \times 10^{-4}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{7.570823568}} \times {\color{rgb(99,194,222)} \cancel{10^{-4}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{7.570823568}} \times {\color{rgb(99,194,222)} \cancel{10^{-4}}}} = \dfrac{2401.0 \times 1.0}{1.331 \times {\color{rgb(255,204,153)} \cancelto{10^{3}}{10^{7}}} \times 7.570823568 \times {\color{rgb(255,204,153)} \cancel{10^{-4}}}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2401.0}{1.331 \times 10^{3} \times 7.570823568}\)
Rewrite equation
\(\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{-3} \times 2401.0}{1.331 \times 7.570823568}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.2382708857\approx2.3827 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(go(合)\right)\approx{\color{rgb(20,165,174)} 2.3827 \times 10^{-1}}\left(fifth\right)\)
