ft a mile convertidor - Pie a Milla

Conversion derivation

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

1. 1

   Rewrite ft in the base unit

   $$1\mathrm{ft}=0.3048\mathrm{m}$$
2. 2

   Rewrite mile in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{ft}& =\frac{0.3048\cancel{\mathrm{m}}}{1,609.344\cancel{\mathrm{m}}}\times 1\mathrm{mile}\\ & =\frac{0.3048}{1,609.344}\mathrm{mile}\\ & =0.000189393939\mathrm{mile}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mile}& =\frac{1,609.344\cancel{\mathrm{m}}}{0.3048\cancel{\mathrm{m}}}\times 1\mathrm{ft}\\ & =\frac{1,609.344}{0.3048}\mathrm{ft}\\ & =5,280\mathrm{ft}\end{array}$$