# Convert marathon to mile

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

## Calculation Breakdown

Set up the equation
$$1.0\left(marathon\right)={\color{rgb(20,165,174)} x}\left(mile\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(marathon\right) = {\color{rgb(89,182,91)} 3.675 \times 10^{4}\left(meter\right)} = {\color{rgb(89,182,91)} 3.675 \times 10^{4}\left(m\right)}$$
$$\text{Right side: 1.0 } \left(mile\right) = {\color{rgb(125,164,120)} 1807.3116\left(meter\right)} = {\color{rgb(125,164,120)} 1807.3116\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(marathon\right)={\color{rgb(20,165,174)} x}\left(mile\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 3.675 \times 10^{4}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1807.3116}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 3.675 \times 10^{4}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1807.3116} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 3.675 \times 10^{4}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1807.3116} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$3.675 \times 10^{4} = {\color{rgb(20,165,174)} x} \times 1807.3116$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 1807.3116 = 3.675 \times 10^{4}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{1807.3116}\right)$$
$${\color{rgb(20,165,174)} x} \times 1807.3116 \times \dfrac{1.0}{1807.3116} = 3.675 \times 10^{4} \times \dfrac{1.0}{1807.3116}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1807.3116}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1807.3116}}} = 3.675 \times 10^{4} \times \dfrac{1.0}{1807.3116}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{3.675 \times 10^{4}}{1807.3116}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx20.334069676\approx20.3341$$
$$\text{Conversion Equation}$$
$$1.0\left(marathon\right)\approx{\color{rgb(20,165,174)} 20.3341}\left(mile\right)$$