Convert pound to stone
Learn how to convert
1
pound to
stone
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(pound\right)={\color{rgb(20,165,174)} x}\left(stone\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(pound\right) = {\color{rgb(89,182,91)} 0.45359237\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 0.45359237\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(stone\right) = {\color{rgb(125,164,120)} 6.35029318\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 6.35029318\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(pound\right)={\color{rgb(20,165,174)} x}\left(stone\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 0.45359237} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 6.35029318}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 0.45359237} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 6.35029318} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 0.45359237} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 6.35029318} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(0.45359237 = {\color{rgb(20,165,174)} x} \times 6.35029318\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 6.35029318 = 0.45359237\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{6.35029318}\right)\)
\({\color{rgb(20,165,174)} x} \times 6.35029318 \times \dfrac{1.0}{6.35029318} = 0.45359237 \times \dfrac{1.0}{6.35029318}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{6.35029318}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{6.35029318}}} = 0.45359237 \times \dfrac{1.0}{6.35029318}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.45359237}{6.35029318}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0714285714\approx7.1429 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(pound\right)\approx{\color{rgb(20,165,174)} 7.1429 \times 10^{-2}}\left(stone\right)\)
