fl oz(US) 에서 gal(US) 변환기 - 액량온스 US 에서 갤런 US

Conversion derivation

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

1. 1

   Rewrite fl oz(US) in the base unit

   $$1\mathrm{floz}(\mathrm{US})=0.0000295735m3$$
2. 2

   Rewrite gal(US) in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{floz}(\mathrm{US})& =\frac{0.0000295735\cancel{m3}}{0.00378541\cancel{m3}}\times 1\mathrm{gal}(\mathrm{US})\\ & =\frac{0.0000295735}{0.00378541}\mathrm{gal}(\mathrm{US})\\ & =0.007812495872\mathrm{gal}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{US})& =\frac{0.00378541\cancel{m3}}{0.0000295735\cancel{m3}}\times 1\mathrm{floz}(\mathrm{US})\\ & =\frac{0.00378541}{0.0000295735}\mathrm{floz}(\mathrm{US})\\ & =128.000067628\mathrm{floz}(\mathrm{US})\end{array}$$