Convert inch to pie
Learn how to convert
1
inch to
pie
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(inch\right)={\color{rgb(20,165,174)} x}\left(pie\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(inch\right) = {\color{rgb(89,182,91)} 2.5400051 \times 10^{-2}\left(meter\right)} = {\color{rgb(89,182,91)} 2.5400051 \times 10^{-2}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(pie\right) = {\color{rgb(125,164,120)} 0.2786\left(meter\right)} = {\color{rgb(125,164,120)} 0.2786\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(inch\right)={\color{rgb(20,165,174)} x}\left(pie\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 2.5400051 \times 10^{-2}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 0.2786}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 2.5400051 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 0.2786} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 2.5400051 \times 10^{-2}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 0.2786} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(2.5400051 \times 10^{-2} = {\color{rgb(20,165,174)} x} \times 0.2786\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 0.2786 = 2.5400051 \times 10^{-2}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{0.2786}\right)\)
\({\color{rgb(20,165,174)} x} \times 0.2786 \times \dfrac{1.0}{0.2786} = 2.5400051 \times 10^{-2} \times \dfrac{1.0}{0.2786}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.2786}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.2786}}} = 2.5400051 \times 10^{-2} \times \dfrac{1.0}{0.2786}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{2.5400051 \times 10^{-2}}{0.2786}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0911703195\approx9.117 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(inch\right)\approx{\color{rgb(20,165,174)} 9.117 \times 10^{-2}}\left(pie\right)\)
