L a gal(US) convertidor - Litro a Galón estadounidense

Conversion derivation

Express both L and gal(US) in the same base unit m3 (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite L in the base unit

   $$1\mathrm{L}=0.001m3$$
2. 2

   Rewrite gal(US) in the base unit

   $$1\mathrm{gal}(\mathrm{US})=0.00378541m3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{L}& =\frac{0.001\cancel{m3}}{0.00378541\cancel{m3}}\times 1\mathrm{gal}(\mathrm{US})\\ & =\frac{0.001}{0.00378541}\mathrm{gal}(\mathrm{US})\\ & =0.264172176858\mathrm{gal}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{US})& =\frac{0.00378541\cancel{m3}}{0.001\cancel{m3}}\times 1\mathrm{L}\\ & =\frac{0.00378541}{0.001}\mathrm{L}\\ & =3.78541\mathrm{L}\end{array}$$