Convert mile to mile

Learn how to convert 1 mile to mile step by step.

Calculation Breakdown

Set up the equation

\(1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(mile\right)\)

Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)

\(\text{Left side: 1.0 } \left(mile\right) = {\color{rgb(89,182,91)} 1853.184\left(meter\right)} = {\color{rgb(89,182,91)} 1853.184\left(m\right)}\)

\(\text{Right side: 1.0 } \left(mile\right) = {\color{rgb(125,164,120)} 1853.184\left(meter\right)} = {\color{rgb(125,164,120)} 1853.184\left(m\right)}\)

Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)

\(1.0\left(mile\right)={\color{rgb(20,165,174)} x}\left(mile\right)\)

\(\text{Insert known values } =>\)

\(1.0 \times {\color{rgb(89,182,91)} 1853.184} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1853.184}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)

\(\text{Or}\)

\(1.0 \cdot {\color{rgb(89,182,91)} 1853.184} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1853.184} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)

\(\text{Cancel SI units}\)

\(1.0 \times {\color{rgb(89,182,91)} 1853.184} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1853.184} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)

\(\text{Conversion Equation}\)

\(1853.184 = {\color{rgb(20,165,174)} x} \times 1853.184\)

Cancel factors on both sides

\(\text{Cancel factors}\)

\({\color{rgb(255,204,153)} \cancel{1853.184}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1853.184}}\)

\(\text{Simplify}\)

\(1.0 = {\color{rgb(20,165,174)} x}\)

Switch sides

\({\color{rgb(20,165,174)} x} = 1.0\)

Solve \({\color{rgb(20,165,174)} x}\)

\({\color{rgb(20,165,174)} x} = 1\)

\(\text{Conversion Equation}\)