# Convert meile to li(公里)

Learn how to convert 1 meile to li(公里) step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(meile\right)={\color{rgb(20,165,174)} x}\left(li(公里)\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(meile\right) = {\color{rgb(89,182,91)} 7532.568\left(meter\right)} = {\color{rgb(89,182,91)} 7532.568\left(m\right)}$$
$$\text{Right side: 1.0 } \left(li(公里)\right) = {\color{rgb(125,164,120)} 10^{3}\left(meter\right)} = {\color{rgb(125,164,120)} 10^{3}\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(meile\right)={\color{rgb(20,165,174)} x}\left(li(公里)\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 7532.568} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 10^{3}}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 7532.568} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 10^{3}} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 7532.568} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 10^{3}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$7532.568 = {\color{rgb(20,165,174)} x} \times 10^{3}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 10^{3} = 7532.568$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{10^{3}}\right)$$
$${\color{rgb(20,165,174)} x} \times 10^{3} \times \dfrac{1.0}{10^{3}} = 7532.568 \times \dfrac{1.0}{10^{3}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{10^{3}}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{10^{3}}}} = 7532.568 \times \dfrac{1.0}{10^{3}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{7532.568}{10^{3}}$$
Rewrite equation
$$\dfrac{1.0}{10^{3}}\text{ can be rewritten to }10^{-3}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = 10^{-3} \times 7532.568$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 7.532568\approx7.5326$$
$$\text{Conversion Equation}$$
$$1.0\left(meile\right)\approx{\color{rgb(20,165,174)} 7.5326}\left(li(公里)\right)$$

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