cup(US) a gal(UK) convertidor - Taza estadounidense a Galón británico

Conversion derivation

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

1. 1

   Rewrite cup(US) in the base unit

   $$1\mathrm{cup}(\mathrm{US})=0.000236588m3$$
2. 2

   Rewrite gal(UK) in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{cup}(\mathrm{US})& =\frac{0.000236588\cancel{m3}}{0.00454609\cancel{m3}}\times 1\mathrm{gal}(\mathrm{UK})\\ & =\frac{0.000236588}{0.00454609}\mathrm{gal}(\mathrm{UK})\\ & =0.052042084517\mathrm{gal}(\mathrm{UK})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{UK})& =\frac{0.00454609\cancel{m3}}{0.000236588\cancel{m3}}\times 1\mathrm{cup}(\mathrm{US})\\ & =\frac{0.00454609}{0.000236588}\mathrm{cup}(\mathrm{US})\\ & =19.2152180161\mathrm{cup}(\mathrm{US})\end{array}$$