ft vers inch convertisseur - Pied vers Pouce

Conversion derivation

Express both ft and inch 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 inch in the base unit

   $$1\mathrm{inch}=0.0254\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{ft}& =\frac{0.3048\cancel{\mathrm{m}}}{0.0254\cancel{\mathrm{m}}}\times 1\mathrm{inch}\\ & =\frac{0.3048}{0.0254}\mathrm{inch}\\ & =12\mathrm{inch}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{inch}& =\frac{0.0254\cancel{\mathrm{m}}}{0.3048\cancel{\mathrm{m}}}\times 1\mathrm{ft}\\ & =\frac{0.0254}{0.3048}\mathrm{ft}\\ & =0.083333333333\mathrm{ft}\end{array}$$