Convert mile to fall
Learn how to convert
1
mile to
fall
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(fall\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(mile\right) = {\color{rgb(89,182,91)} 1853.24866649733\left(meter\right)} = {\color{rgb(89,182,91)} 1853.24866649733\left(m\right)}\)
\(\text{Right side: 1.0 } \left(fall\right) = {\color{rgb(125,164,120)} 6.858\left(meter\right)} = {\color{rgb(125,164,120)} 6.858\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(fall\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1853.24866649733} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 6.858}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1853.24866649733} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 6.858} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1853.24866649733} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 6.858} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(1853.24866649733 = {\color{rgb(20,165,174)} x} \times 6.858\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 6.858 = 1853.24866649733\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{6.858}\right)\)
\({\color{rgb(20,165,174)} x} \times 6.858 \times \dfrac{1.0}{6.858} = 1853.24866649733 \times \dfrac{1.0}{6.858}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{6.858}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{6.858}}} = 1853.24866649733 \times \dfrac{1.0}{6.858}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1853.24866649733}{6.858}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx270.23165157\approx2.7023 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(mile\right)\approx{\color{rgb(20,165,174)} 2.7023 \times 10^{2}}\left(fall\right)\)
