m a ft convertidor - Metro a Pie

Conversion derivation

Express both m and ft 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 ft in the base unit

   $$1\mathrm{ft}=0.3048\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{m}& =\frac{1\cancel{\mathrm{m}}}{0.3048\cancel{\mathrm{m}}}\times 1\mathrm{ft}\\ & =\frac{1}{0.3048}\mathrm{ft}\\ & =3.28083989501\mathrm{ft}\end{array}$$
4. 4

   Reverse conversion

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