Convert ligne to cable length
Learn how to convert
1
ligne to
cable length
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(ligne\right)={\color{rgb(20,165,174)} x}\left(cable \text{ } length\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(ligne\right) = {\color{rgb(89,182,91)} \dfrac{0.2233275}{99.0}\left(meter\right)} = {\color{rgb(89,182,91)} \dfrac{0.2233275}{99.0}\left(m\right)}\)
\(\text{Right side: 1.0 } \left(cable \text{ } length\right) = {\color{rgb(125,164,120)} 219.456\left(meter\right)} = {\color{rgb(125,164,120)} 219.456\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(ligne\right)={\color{rgb(20,165,174)} x}\left(cable \text{ } length\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{0.2233275}{99.0}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 219.456}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{0.2233275}{99.0}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 219.456} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{0.2233275}{99.0}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 219.456} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{0.2233275}{99.0} = {\color{rgb(20,165,174)} x} \times 219.456\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 219.456 = \dfrac{0.2233275}{99.0}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{219.456}\right)\)
\({\color{rgb(20,165,174)} x} \times 219.456 \times \dfrac{1.0}{219.456} = \dfrac{0.2233275}{99.0} \times \dfrac{1.0}{219.456}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{219.456}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{219.456}}} = \dfrac{0.2233275 \times 1.0}{99.0 \times 219.456}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{0.2233275}{99.0 \times 219.456}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0000102792\approx1.0279 \times 10^{-5}\)
\(\text{Conversion Equation}\)
\(1.0\left(ligne\right)\approx{\color{rgb(20,165,174)} 1.0279 \times 10^{-5}}\left(cable \text{ } length\right)\)
