Convert quartern to quarter
Learn how to convert
1
quartern to
quarter
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(quartern\right)={\color{rgb(20,165,174)} x}\left(quarter\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(quartern\right) = {\color{rgb(89,182,91)} 1.587573295\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 1.587573295\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(quarter\right) = {\color{rgb(125,164,120)} 12.70058636\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 12.70058636\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(quartern\right)={\color{rgb(20,165,174)} x}\left(quarter\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.587573295} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 12.70058636}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.587573295} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 12.70058636} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.587573295} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 12.70058636} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(1.587573295 = {\color{rgb(20,165,174)} x} \times 12.70058636\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 12.70058636 = 1.587573295\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{12.70058636}\right)\)
\({\color{rgb(20,165,174)} x} \times 12.70058636 \times \dfrac{1.0}{12.70058636} = 1.587573295 \times \dfrac{1.0}{12.70058636}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{12.70058636}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{12.70058636}}} = 1.587573295 \times \dfrac{1.0}{12.70058636}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.587573295}{12.70058636}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 0.125 = 1.25 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(quartern\right) = {\color{rgb(20,165,174)} 1.25 \times 10^{-1}}\left(quarter\right)\)
