L vers gal(UK) convertisseur - Litre vers Gallon UK

Conversion derivation

Express both L and gal(UK) 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(UK) in the base unit

   $$1\mathrm{gal}(\mathrm{UK})=0.00454609m3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{L}& =\frac{0.001\cancel{m3}}{0.00454609\cancel{m3}}\times 1\mathrm{gal}(\mathrm{UK})\\ & =\frac{0.001}{0.00454609}\mathrm{gal}(\mathrm{UK})\\ & =0.219969248299\mathrm{gal}(\mathrm{UK})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{UK})& =\frac{0.00454609\cancel{m3}}{0.001\cancel{m3}}\times 1\mathrm{L}\\ & =\frac{0.00454609}{0.001}\mathrm{L}\\ & =4.54609\mathrm{L}\end{array}$$