m a mile convertidor - Metro a Milla

Conversion derivation

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

1. 1

   Rewrite m in the base unit

   $$1\mathrm{m}=1\mathrm{m}$$
2. 2

   Rewrite mile in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{m}& =\frac{1\cancel{\mathrm{m}}}{1,609.344\cancel{\mathrm{m}}}\times 1\mathrm{mile}\\ & =\frac{1}{1,609.344}\mathrm{mile}\\ & =0.000621371192\mathrm{mile}\end{array}$$
4. 4

   Reverse conversion

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