inch a mile convertidor - Pulgada a Milla

Conversion derivation

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

1. 1

   Rewrite inch in the base unit

   $$1\mathrm{inch}=0.0254\mathrm{m}$$
2. 2

   Rewrite mile in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{inch}& =\frac{0.0254\cancel{\mathrm{m}}}{1,609.344\cancel{\mathrm{m}}}\times 1\mathrm{mile}\\ & =\frac{0.0254}{1,609.344}\mathrm{mile}\\ & =0.000015782828\mathrm{mile}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mile}& =\frac{1,609.344\cancel{\mathrm{m}}}{0.0254\cancel{\mathrm{m}}}\times 1\mathrm{inch}\\ & =\frac{1,609.344}{0.0254}\mathrm{inch}\\ & =63,360\mathrm{inch}\end{array}$$