Convert hiro(尋) to inch
Learn how to convert
1
hiro(尋) to
inch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(hiro(尋)\right)={\color{rgb(20,165,174)} x}\left(inch\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(hiro(尋)\right) = {\color{rgb(89,182,91)} \dfrac{20.0}{11.0}\left(meter\right)} = {\color{rgb(89,182,91)} \dfrac{20.0}{11.0}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(inch\right) = {\color{rgb(125,164,120)} 2.54 \times 10^{-2}\left(meter\right)} = {\color{rgb(125,164,120)} 2.54 \times 10^{-2}\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(hiro(尋)\right)={\color{rgb(20,165,174)} x}\left(inch\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{20.0}{11.0}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.54 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{20.0}{11.0}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.54 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{20.0}{11.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.54 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{20.0}{11.0} = {\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-2}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-2} = \dfrac{20.0}{11.0}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.54 \times 10^{-2}}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.54 \times 10^{-2} \times \dfrac{1.0}{2.54 \times 10^{-2}} = \dfrac{20.0}{11.0} \times \dfrac{1.0}{2.54 \times 10^{-2}}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.54}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.54}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}}} = \dfrac{20.0 \times 1.0}{11.0 \times 2.54 \times 10^{-2}}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{20.0}{11.0 \times 2.54 \times 10^{-2}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-2}}\text{ can be rewritten to }10^{2}\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = \dfrac{10^{2} \times 20.0}{11.0 \times 2.54}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx71.581961346\approx71.582\)
\(\text{Conversion Equation}\)
\(1.0\left(hiro(尋)\right)\approx{\color{rgb(20,165,174)} 71.582}\left(inch\right)\)
