Convert UK gallon to US barrel
Unit definitions
UK gallon
The UK gallon is a unit of volume equal to exactly $4.546\,09$ liters.
US barrel
The US barrel is the standard liquid barrel in the US customary system. One US barrel equals $31.5$ US liquid gallons.
How to convert UK gallon to US barrel
$$\text{Volume}_{\text{bbl (US)}} = \text{Volume}_{\text{gal (uk)}} \cdot 0.03812539446047158506902886459137135$$
Examples
Example 1
Convert $45.0\ \text{gal (uk)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = 45.0 \cdot 0.03812539446047158506902886459137135$$
$$\text{Volume}_{\text{bbl (US)}} = 1.715643$$
$$\therefore \ 45.0\ \text{gal (uk)} = 1.715643 \ \text{bbl (US)}$$
Example 2
Convert $85.0\ \text{gal (uk)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = 85.0 \cdot 0.03812539446047158506902886459137135$$
$$\text{Volume}_{\text{bbl (US)}} = 3.240659$$
$$\therefore \ 85.0\ \text{gal (uk)} = 3.240659 \ \text{bbl (US)}$$
Example 3
Convert $110.0\ \text{gal (uk)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = 110.0 \cdot 0.03812539446047158506902886459137135$$
$$\text{Volume}_{\text{bbl (US)}} = 4.193793$$
$$\therefore \ 110.0\ \text{gal (uk)} = 4.193793 \ \text{bbl (US)}$$
Example 4
Convert $130.0\ \text{gal (uk)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = 130.0 \cdot 0.03812539446047158506902886459137135$$
$$\text{Volume}_{\text{bbl (US)}} = 4.956301$$
$$\therefore \ 130.0\ \text{gal (uk)} = 4.956301 \ \text{bbl (US)}$$
Example 5
Convert $195.0\ \text{gal (uk)}$ to $\text{bbl (US)}$.
$$\text{Volume}_{\text{bbl (US)}} = 195.0 \cdot 0.03812539446047158506902886459137135$$
$$\text{Volume}_{\text{bbl (US)}} = 7.434452$$
$$\therefore \ 195.0\ \text{gal (uk)} = 7.434452 \ \text{bbl (US)}$$