km to mile Converter - Kilometer to Mile

Conversion derivation

Express both km and mile in the same base unit m (meter), then cancel the shared base unit.

1. 1

   Rewrite km in the base unit

   $$1\mathrm{km}=1,000\mathrm{m}$$
2. 2

   Rewrite mile in the base unit

   $$1\mathrm{mile}=1,609.344\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{km}& =\frac{1,000\cancel{\mathrm{m}}}{1,609.344\cancel{\mathrm{m}}}\times 1\mathrm{mile}\\ & =\frac{1,000}{1,609.344}\mathrm{mile}\\ & =0.621371192237\mathrm{mile}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mile}& =\frac{1,609.344\cancel{\mathrm{m}}}{1,000\cancel{\mathrm{m}}}\times 1\mathrm{km}\\ & =\frac{1,609.344}{1,000}\mathrm{km}\\ & =1.609344\mathrm{km}\end{array}$$