m a inch convertidor - Metro a Pulgada

Conversion derivation

Express both m and inch 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 inch in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{m}& =\frac{1\cancel{\mathrm{m}}}{0.0254\cancel{\mathrm{m}}}\times 1\mathrm{inch}\\ & =\frac{1}{0.0254}\mathrm{inch}\\ & =39.3700787402\mathrm{inch}\end{array}$$
4. 4

   Reverse conversion

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