Convert rope to ken(間)
Learn how to convert
1
rope to
ken(間)
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(rope\right)={\color{rgb(20,165,174)} x}\left(ken(間)\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(rope\right) = {\color{rgb(89,182,91)} 6.096\left(meter\right)} = {\color{rgb(89,182,91)} 6.096\left(m\right)}\)
\(\text{Right side: 1.0 } \left(ken(間)\right) = {\color{rgb(125,164,120)} \dfrac{20.0}{11.0}\left(meter\right)} = {\color{rgb(125,164,120)} \dfrac{20.0}{11.0}\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(rope\right)={\color{rgb(20,165,174)} x}\left(ken(間)\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 6.096} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{20.0}{11.0}}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 6.096} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{20.0}{11.0}} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 6.096} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{20.0}{11.0}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(6.096 = {\color{rgb(20,165,174)} x} \times \dfrac{20.0}{11.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{20.0}{11.0} = 6.096\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{11.0}{20.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{20.0}{11.0} \times \dfrac{11.0}{20.0} = 6.096 \times \dfrac{11.0}{20.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{20.0}} \times {\color{rgb(99,194,222)} \cancel{11.0}}}{{\color{rgb(99,194,222)} \cancel{11.0}} \times {\color{rgb(255,204,153)} \cancel{20.0}}} = 6.096 \times \dfrac{11.0}{20.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{6.096 \times 11.0}{20.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 3.3528\)
\(\text{Conversion Equation}\)
\(1.0\left(rope\right) = {\color{rgb(20,165,174)} 3.3528}\left(ken(間)\right)\)
